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Finding the Fourth Proportional to 201,204,615.40, 301,806,923.10 and 142,753,978.60

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Solution

The fourth proportional to 201,204,615.40, 301,806,923.10 and 142,753,978.60 is: 214,130,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,204,615.40 : 301,806,923.10 = 142,753,978.60 : x
  2. Step 2: Convert to fraction form
    201,204,615.40/301,806,923.10 = 142,753,978.60/x
  3. Step 3: Cross multiply
    201,204,615.40x = 301,806,923.10 × 142,753,978.60
  4. Step 4: Simplify right side
    201,204,615.40x = 43,084,139,041,549,248
  5. Step 5: Solve for x
    x = 43,084,139,041,549,248/201,204,615.40
  6. Step 6: Final answer
    x = 214,130,967.90

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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.