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Finding the Fourth Proportional to 87,414, 120,632.76 and 47,670

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Solution

The fourth proportional to 87,414, 120,632.76 and 47,670 is: 65,785.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,414 : 120,632.76 = 47,670 : x
  2. Step 2: Convert to fraction form
    87,414/120,632.76 = 47,670/x
  3. Step 3: Cross multiply
    87,414x = 120,632.76 × 47,670
  4. Step 4: Simplify right side
    87,414x = 5,750,563,669.20
  5. Step 5: Solve for x
    x = 5,750,563,669.20/87,414
  6. Step 6: Final answer
    x = 65,785.39

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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.