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Finding the Fourth Proportional to 129,781.80, 194,672.70 and 119,284.20

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Solution

The fourth proportional to 129,781.80, 194,672.70 and 119,284.20 is: 178,926.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,781.80 : 194,672.70 = 119,284.20 : x
  2. Step 2: Convert to fraction form
    129,781.80/194,672.70 = 119,284.20/x
  3. Step 3: Cross multiply
    129,781.80x = 194,672.70 × 119,284.20
  4. Step 4: Simplify right side
    129,781.80x = 23,221,377,281.34
  5. Step 5: Solve for x
    x = 23,221,377,281.34/129,781.80
  6. Step 6: Final answer
    x = 178,926.30

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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.