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Finding the Fourth Proportional to 84,142.96, 126,042.72 and 52,449.28

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Solution

The fourth proportional to 84,142.96, 126,042.72 and 52,449.28 is: 78,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,142.96 : 126,042.72 = 52,449.28 : x
  2. Step 2: Convert to fraction form
    84,142.96/126,042.72 = 52,449.28/x
  3. Step 3: Cross multiply
    84,142.96x = 126,042.72 × 52,449.28
  4. Step 4: Simplify right side
    84,142.96x = 6,610,849,913.24
  5. Step 5: Solve for x
    x = 6,610,849,913.24/84,142.96
  6. Step 6: Final answer
    x = 78,566.88

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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.