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Finding the Fourth Proportional to 60,102.56, 90,159.84 and 20,654.48

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Solution

The fourth proportional to 60,102.56, 90,159.84 and 20,654.48 is: 30,983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,102.56 : 90,159.84 = 20,654.48 : x
  2. Step 2: Convert to fraction form
    60,102.56/90,159.84 = 20,654.48/x
  3. Step 3: Cross multiply
    60,102.56x = 90,159.84 × 20,654.48
  4. Step 4: Simplify right side
    60,102.56x = 1,862,204,612.08
  5. Step 5: Solve for x
    x = 1,862,204,612.08/60,102.56
  6. Step 6: Final answer
    x = 30,983.78

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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.