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Finding the Fourth Proportional to 137,997.60, 206,996.40 and 96,007.20

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Solution

The fourth proportional to 137,997.60, 206,996.40 and 96,007.20 is: 144,010.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,997.60 : 206,996.40 = 96,007.20 : x
  2. Step 2: Convert to fraction form
    137,997.60/206,996.40 = 96,007.20/x
  3. Step 3: Cross multiply
    137,997.60x = 206,996.40 × 96,007.20
  4. Step 4: Simplify right side
    137,997.60x = 19,873,144,774.08
  5. Step 5: Solve for x
    x = 19,873,144,774.08/137,997.60
  6. Step 6: Final answer
    x = 144,010.80

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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.