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Finding the Fourth Proportional to 138,734.60, 207,641.10 and 97,262.60

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Solution

The fourth proportional to 138,734.60, 207,641.10 and 97,262.60 is: 145,570.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,734.60 : 207,641.10 = 97,262.60 : x
  2. Step 2: Convert to fraction form
    138,734.60/207,641.10 = 97,262.60/x
  3. Step 3: Cross multiply
    138,734.60x = 207,641.10 × 97,262.60
  4. Step 4: Simplify right side
    138,734.60x = 20,195,713,252.86
  5. Step 5: Solve for x
    x = 20,195,713,252.86/138,734.60
  6. Step 6: Final answer
    x = 145,570.85

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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.