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Finding the Fourth Proportional to 120,812.43, 181,065.54 and 68,251.53

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Solution

The fourth proportional to 120,812.43, 181,065.54 and 68,251.53 is: 102,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,812.43 : 181,065.54 = 68,251.53 : x
  2. Step 2: Convert to fraction form
    120,812.43/181,065.54 = 68,251.53/x
  3. Step 3: Cross multiply
    120,812.43x = 181,065.54 × 68,251.53
  4. Step 4: Simplify right side
    120,812.43x = 12,358,000,135.28
  5. Step 5: Solve for x
    x = 12,358,000,135.28/120,812.43
  6. Step 6: Final answer
    x = 102,290.80

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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.