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Finding the Fourth Proportional to 52,128, 71,996.04 and 35,331.84

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Solution

The fourth proportional to 52,128, 71,996.04 and 35,331.84 is: 48,798.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,128 : 71,996.04 = 35,331.84 : x
  2. Step 2: Convert to fraction form
    52,128/71,996.04 = 35,331.84/x
  3. Step 3: Cross multiply
    52,128x = 71,996.04 × 35,331.84
  4. Step 4: Simplify right side
    52,128x = 2,543,752,565.91
  5. Step 5: Solve for x
    x = 2,543,752,565.91/52,128
  6. Step 6: Final answer
    x = 48,798.20

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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.