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Finding the Fourth Proportional to 83,662.64, 124,892.13 and 71,687.48

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Solution

The fourth proportional to 83,662.64, 124,892.13 and 71,687.48 is: 107,015.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662.64 : 124,892.13 = 71,687.48 : x
  2. Step 2: Convert to fraction form
    83,662.64/124,892.13 = 71,687.48/x
  3. Step 3: Cross multiply
    83,662.64x = 124,892.13 × 71,687.48
  4. Step 4: Simplify right side
    83,662.64x = 8,953,202,071.53
  5. Step 5: Solve for x
    x = 8,953,202,071.53/83,662.64
  6. Step 6: Final answer
    x = 107,015.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.