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Finding the Fourth Proportional to 136,973.80, 205,460.70 and 115,978.60

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Solution

The fourth proportional to 136,973.80, 205,460.70 and 115,978.60 is: 173,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,973.80 : 205,460.70 = 115,978.60 : x
  2. Step 2: Convert to fraction form
    136,973.80/205,460.70 = 115,978.60/x
  3. Step 3: Cross multiply
    136,973.80x = 205,460.70 × 115,978.60
  4. Step 4: Simplify right side
    136,973.80x = 23,829,044,341.02
  5. Step 5: Solve for x
    x = 23,829,044,341.02/136,973.80
  6. Step 6: Final answer
    x = 173,967.90

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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.