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Finding the Fourth Proportional to 129,753.78, 194,718 and 45,514.74

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Solution

The fourth proportional to 129,753.78, 194,718 and 45,514.74 is: 68,302.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,753.78 : 194,718 = 45,514.74 : x
  2. Step 2: Convert to fraction form
    129,753.78/194,718 = 45,514.74/x
  3. Step 3: Cross multiply
    129,753.78x = 194,718 × 45,514.74
  4. Step 4: Simplify right side
    129,753.78x = 8,862,539,143.32
  5. Step 5: Solve for x
    x = 8,862,539,143.32/129,753.78
  6. Step 6: Final answer
    x = 68,302.74

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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.