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Finding the Fourth Proportional to 129,987.88, 194,981.31 and 41,248.30

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Solution

The fourth proportional to 129,987.88, 194,981.31 and 41,248.30 is: 61,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,987.88 : 194,981.31 = 41,248.30 : x
  2. Step 2: Convert to fraction form
    129,987.88/194,981.31 = 41,248.30/x
  3. Step 3: Cross multiply
    129,987.88x = 194,981.31 × 41,248.30
  4. Step 4: Simplify right side
    129,987.88x = 8,042,647,569.27
  5. Step 5: Solve for x
    x = 8,042,647,569.27/129,987.88
  6. Step 6: Final answer
    x = 61,872.29

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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.