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Finding the Fourth Proportional to 129,691.71, 194,521.16 and 34,929.46

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Solution

The fourth proportional to 129,691.71, 194,521.16 and 34,929.46 is: 52,389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,691.71 : 194,521.16 = 34,929.46 : x
  2. Step 2: Convert to fraction form
    129,691.71/194,521.16 = 34,929.46/x
  3. Step 3: Cross multiply
    129,691.71x = 194,521.16 × 34,929.46
  4. Step 4: Simplify right side
    129,691.71x = 6,794,518,902.73
  5. Step 5: Solve for x
    x = 6,794,518,902.73/129,691.71
  6. Step 6: Final answer
    x = 52,389.77

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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.