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Finding the Fourth Proportional to 138,486.40, 207,729.60 and 85,724.80

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Solution

The fourth proportional to 138,486.40, 207,729.60 and 85,724.80 is: 128,587.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,486.40 : 207,729.60 = 85,724.80 : x
  2. Step 2: Convert to fraction form
    138,486.40/207,729.60 = 85,724.80/x
  3. Step 3: Cross multiply
    138,486.40x = 207,729.60 × 85,724.80
  4. Step 4: Simplify right side
    138,486.40x = 17,807,578,414.08
  5. Step 5: Solve for x
    x = 17,807,578,414.08/138,486.40
  6. Step 6: Final answer
    x = 128,587.20

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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.