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Finding the Fourth Proportional to 120,805.28, 181,136.13 and 45,930.90

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Solution

The fourth proportional to 120,805.28, 181,136.13 and 45,930.90 is: 68,869.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,805.28 : 181,136.13 = 45,930.90 : x
  2. Step 2: Convert to fraction form
    120,805.28/181,136.13 = 45,930.90/x
  3. Step 3: Cross multiply
    120,805.28x = 181,136.13 × 45,930.90
  4. Step 4: Simplify right side
    120,805.28x = 8,319,746,238.80
  5. Step 5: Solve for x
    x = 8,319,746,238.80/120,805.28
  6. Step 6: Final answer
    x = 68,869.06

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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.