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Finding the Fourth Proportional to 129,744.50, 194,616.75 and 31,248.50

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Solution

The fourth proportional to 129,744.50, 194,616.75 and 31,248.50 is: 46,872.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744.50 : 194,616.75 = 31,248.50 : x
  2. Step 2: Convert to fraction form
    129,744.50/194,616.75 = 31,248.50/x
  3. Step 3: Cross multiply
    129,744.50x = 194,616.75 × 31,248.50
  4. Step 4: Simplify right side
    129,744.50x = 6,081,481,512.38
  5. Step 5: Solve for x
    x = 6,081,481,512.38/129,744.50
  6. Step 6: Final answer
    x = 46,872.75

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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.