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Finding the Fourth Proportional to 83,432.88, 125,071.56 and 27,990

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Solution

The fourth proportional to 83,432.88, 125,071.56 and 27,990 is: 41,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,432.88 : 125,071.56 = 27,990 : x
  2. Step 2: Convert to fraction form
    83,432.88/125,071.56 = 27,990/x
  3. Step 3: Cross multiply
    83,432.88x = 125,071.56 × 27,990
  4. Step 4: Simplify right side
    83,432.88x = 3,500,752,964.40
  5. Step 5: Solve for x
    x = 3,500,752,964.40/83,432.88
  6. Step 6: Final answer
    x = 41,958.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.