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Finding the Fourth Proportional to 129,930.39, 194,895.57 and 31,434.39

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Solution

The fourth proportional to 129,930.39, 194,895.57 and 31,434.39 is: 47,151.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,930.39 : 194,895.57 = 31,434.39 : x
  2. Step 2: Convert to fraction form
    129,930.39/194,895.57 = 31,434.39/x
  3. Step 3: Cross multiply
    129,930.39x = 194,895.57 × 31,434.39
  4. Step 4: Simplify right side
    129,930.39x = 6,126,423,356.65
  5. Step 5: Solve for x
    x = 6,126,423,356.65/129,930.39
  6. Step 6: Final answer
    x = 47,151.58

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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.