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Finding the Fourth Proportional to 87,418, 120,636.96 and 47,674

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Solution

The fourth proportional to 87,418, 120,636.96 and 47,674 is: 65,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,418 : 120,636.96 = 47,674 : x
  2. Step 2: Convert to fraction form
    87,418/120,636.96 = 47,674/x
  3. Step 3: Cross multiply
    87,418x = 120,636.96 × 47,674
  4. Step 4: Simplify right side
    87,418x = 5,751,246,431.04
  5. Step 5: Solve for x
    x = 5,751,246,431.04/87,418
  6. Step 6: Final answer
    x = 65,790.19

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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.