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Finding the Fourth Proportional to 129,402.64, 194,039.16 and 40,654.96

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Solution

The fourth proportional to 129,402.64, 194,039.16 and 40,654.96 is: 60,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,402.64 : 194,039.16 = 40,654.96 : x
  2. Step 2: Convert to fraction form
    129,402.64/194,039.16 = 40,654.96/x
  3. Step 3: Cross multiply
    129,402.64x = 194,039.16 × 40,654.96
  4. Step 4: Simplify right side
    129,402.64x = 7,888,654,288.23
  5. Step 5: Solve for x
    x = 7,888,654,288.23/129,402.64
  6. Step 6: Final answer
    x = 60,962.08

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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.