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Finding the Fourth Proportional to 84,552.84, 126,832.33 and 28,394.78

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Solution

The fourth proportional to 84,552.84, 126,832.33 and 28,394.78 is: 42,593.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,552.84 : 126,832.33 = 28,394.78 : x
  2. Step 2: Convert to fraction form
    84,552.84/126,832.33 = 28,394.78/x
  3. Step 3: Cross multiply
    84,552.84x = 126,832.33 × 28,394.78
  4. Step 4: Simplify right side
    84,552.84x = 3,601,375,865.29
  5. Step 5: Solve for x
    x = 3,601,375,865.29/84,552.84
  6. Step 6: Final answer
    x = 42,593.20

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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.