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Finding the Fourth Proportional to 49,489.52, 74,243.52 and 19,909.64

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Solution

The fourth proportional to 49,489.52, 74,243.52 and 19,909.64 is: 29,868.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,489.52 : 74,243.52 = 19,909.64 : x
  2. Step 2: Convert to fraction form
    49,489.52/74,243.52 = 19,909.64/x
  3. Step 3: Cross multiply
    49,489.52x = 74,243.52 × 19,909.64
  4. Step 4: Simplify right side
    49,489.52x = 1,478,161,755.53
  5. Step 5: Solve for x
    x = 1,478,161,755.53/49,489.52
  6. Step 6: Final answer
    x = 29,868.18

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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.