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Finding the Fourth Proportional to 129,712.59, 194,564.03 and 40,971.42

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Solution

The fourth proportional to 129,712.59, 194,564.03 and 40,971.42 is: 61,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,712.59 : 194,564.03 = 40,971.42 : x
  2. Step 2: Convert to fraction form
    129,712.59/194,564.03 = 40,971.42/x
  3. Step 3: Cross multiply
    129,712.59x = 194,564.03 × 40,971.42
  4. Step 4: Simplify right side
    129,712.59x = 7,971,564,385.17
  5. Step 5: Solve for x
    x = 7,971,564,385.17/129,712.59
  6. Step 6: Final answer
    x = 61,455.59

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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.