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Finding the Fourth Proportional to 87,086, 120,179.64 and 47,342

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Solution

The fourth proportional to 87,086, 120,179.64 and 47,342 is: 65,332.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,086 : 120,179.64 = 47,342 : x
  2. Step 2: Convert to fraction form
    87,086/120,179.64 = 47,342/x
  3. Step 3: Cross multiply
    87,086x = 120,179.64 × 47,342
  4. Step 4: Simplify right side
    87,086x = 5,689,544,516.88
  5. Step 5: Solve for x
    x = 5,689,544,516.88/87,086
  6. Step 6: Final answer
    x = 65,332.48

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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.