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Finding the Fourth Proportional to 138,355.31, 207,063.84 and 85,080.75

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Solution

The fourth proportional to 138,355.31, 207,063.84 and 85,080.75 is: 127,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,355.31 : 207,063.84 = 85,080.75 : x
  2. Step 2: Convert to fraction form
    138,355.31/207,063.84 = 85,080.75/x
  3. Step 3: Cross multiply
    138,355.31x = 207,063.84 × 85,080.75
  4. Step 4: Simplify right side
    138,355.31x = 17,617,146,805.08
  5. Step 5: Solve for x
    x = 17,617,146,805.08/138,355.31
  6. Step 6: Final answer
    x = 127,332.64

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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.