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Finding the Fourth Proportional to 87,074, 120,164.04 and 47,330

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Solution

The fourth proportional to 87,074, 120,164.04 and 47,330 is: 65,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,074 : 120,164.04 = 47,330 : x
  2. Step 2: Convert to fraction form
    87,074/120,164.04 = 47,330/x
  3. Step 3: Cross multiply
    87,074x = 120,164.04 × 47,330
  4. Step 4: Simplify right side
    87,074x = 5,687,364,013.20
  5. Step 5: Solve for x
    x = 5,687,364,013.20/87,074
  6. Step 6: Final answer
    x = 65,316.44

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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.