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Finding the Fourth Proportional to 87,674, 120,992.04 and 47,930

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Solution

The fourth proportional to 87,674, 120,992.04 and 47,930 is: 66,144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,674 : 120,992.04 = 47,930 : x
  2. Step 2: Convert to fraction form
    87,674/120,992.04 = 47,930/x
  3. Step 3: Cross multiply
    87,674x = 120,992.04 × 47,930
  4. Step 4: Simplify right side
    87,674x = 5,799,148,477.20
  5. Step 5: Solve for x
    x = 5,799,148,477.20/87,674
  6. Step 6: Final answer
    x = 66,144.45

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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.