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Finding the Fourth Proportional to 80,538.65, 120,754.65 and 38,425.23

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Solution

The fourth proportional to 80,538.65, 120,754.65 and 38,425.23 is: 57,612.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538.65 : 120,754.65 = 38,425.23 : x
  2. Step 2: Convert to fraction form
    80,538.65/120,754.65 = 38,425.23/x
  3. Step 3: Cross multiply
    80,538.65x = 120,754.65 × 38,425.23
  4. Step 4: Simplify right side
    80,538.65x = 4,640,025,199.82
  5. Step 5: Solve for x
    x = 4,640,025,199.82/80,538.65
  6. Step 6: Final answer
    x = 57,612.40

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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.