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Finding the Fourth Proportional to 129,764.40, 194,646.60 and 74,314.80

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Solution

The fourth proportional to 129,764.40, 194,646.60 and 74,314.80 is: 111,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,764.40 : 194,646.60 = 74,314.80 : x
  2. Step 2: Convert to fraction form
    129,764.40/194,646.60 = 74,314.80/x
  3. Step 3: Cross multiply
    129,764.40x = 194,646.60 × 74,314.80
  4. Step 4: Simplify right side
    129,764.40x = 14,465,123,149.68
  5. Step 5: Solve for x
    x = 14,465,123,149.68/129,764.40
  6. Step 6: Final answer
    x = 111,472.20

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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.