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Finding the Fourth Proportional to 129,706.38, 194,565.54 and 39,742.65

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Solution

The fourth proportional to 129,706.38, 194,565.54 and 39,742.65 is: 59,615.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,706.38 : 194,565.54 = 39,742.65 : x
  2. Step 2: Convert to fraction form
    129,706.38/194,565.54 = 39,742.65/x
  3. Step 3: Cross multiply
    129,706.38x = 194,565.54 × 39,742.65
  4. Step 4: Simplify right side
    129,706.38x = 7,732,550,158.28
  5. Step 5: Solve for x
    x = 7,732,550,158.28/129,706.38
  6. Step 6: Final answer
    x = 59,615.80

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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.