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Finding the Fourth Proportional to 99,476.64, 137,287.68 and 74,282.40

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Solution

The fourth proportional to 99,476.64, 137,287.68 and 74,282.40 is: 102,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,476.64 : 137,287.68 = 74,282.40 : x
  2. Step 2: Convert to fraction form
    99,476.64/137,287.68 = 74,282.40/x
  3. Step 3: Cross multiply
    99,476.64x = 137,287.68 × 74,282.40
  4. Step 4: Simplify right side
    99,476.64x = 10,198,058,360.83
  5. Step 5: Solve for x
    x = 10,198,058,360.83/99,476.64
  6. Step 6: Final answer
    x = 102,517.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.