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Finding the Fourth Proportional to 48,491.90, 72,737.84 and 13,431.54

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Solution

The fourth proportional to 48,491.90, 72,737.84 and 13,431.54 is: 20,147.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,491.90 : 72,737.84 = 13,431.54 : x
  2. Step 2: Convert to fraction form
    48,491.90/72,737.84 = 13,431.54/x
  3. Step 3: Cross multiply
    48,491.90x = 72,737.84 × 13,431.54
  4. Step 4: Simplify right side
    48,491.90x = 976,981,207.47
  5. Step 5: Solve for x
    x = 976,981,207.47/48,491.90
  6. Step 6: Final answer
    x = 20,147.31

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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.