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Finding the Fourth Proportional to 200,809,985.80, 301,214,978.70 and 139,587,982.60

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Solution

The fourth proportional to 200,809,985.80, 301,214,978.70 and 139,587,982.60 is: 209,381,973.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,809,985.80 : 301,214,978.70 = 139,587,982.60 : x
  2. Step 2: Convert to fraction form
    200,809,985.80/301,214,978.70 = 139,587,982.60/x
  3. Step 3: Cross multiply
    200,809,985.80x = 301,214,978.70 × 139,587,982.60
  4. Step 4: Simplify right side
    200,809,985.80x = 42,045,991,205,634,968
  5. Step 5: Solve for x
    x = 42,045,991,205,634,968/200,809,985.80
  6. Step 6: Final answer
    x = 209,381,973.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.