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Finding the Fourth Proportional to 72,494.53, 100,042.25 and 40,234.02

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Solution

The fourth proportional to 72,494.53, 100,042.25 and 40,234.02 is: 55,522.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,494.53 : 100,042.25 = 40,234.02 : x
  2. Step 2: Convert to fraction form
    72,494.53/100,042.25 = 40,234.02/x
  3. Step 3: Cross multiply
    72,494.53x = 100,042.25 × 40,234.02
  4. Step 4: Simplify right side
    72,494.53x = 4,025,101,311.02
  5. Step 5: Solve for x
    x = 4,025,101,311.02/72,494.53
  6. Step 6: Final answer
    x = 55,522.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.