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Finding the Fourth Proportional to 154,151.65, 231,224.19 and 71,045.65

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Solution

The fourth proportional to 154,151.65, 231,224.19 and 71,045.65 is: 106,566.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,151.65 : 231,224.19 = 71,045.65 : x
  2. Step 2: Convert to fraction form
    154,151.65/231,224.19 = 71,045.65/x
  3. Step 3: Cross multiply
    154,151.65x = 231,224.19 × 71,045.65
  4. Step 4: Simplify right side
    154,151.65x = 16,427,472,874.27
  5. Step 5: Solve for x
    x = 16,427,472,874.27/154,151.65
  6. Step 6: Final answer
    x = 106,566.96

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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.