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Finding the Fourth Proportional to 102,754.28, 141,848.34 and 65,079.56

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Solution

The fourth proportional to 102,754.28, 141,848.34 and 65,079.56 is: 89,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,754.28 : 141,848.34 = 65,079.56 : x
  2. Step 2: Convert to fraction form
    102,754.28/141,848.34 = 65,079.56/x
  3. Step 3: Cross multiply
    102,754.28x = 141,848.34 × 65,079.56
  4. Step 4: Simplify right side
    102,754.28x = 9,231,427,553.93
  5. Step 5: Solve for x
    x = 9,231,427,553.93/102,754.28
  6. Step 6: Final answer
    x = 89,839.83

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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.