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Finding the Fourth Proportional to 83,748.80, 115,572.80 and 45,508.16

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Solution

The fourth proportional to 83,748.80, 115,572.80 and 45,508.16 is: 62,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,748.80 : 115,572.80 = 45,508.16 : x
  2. Step 2: Convert to fraction form
    83,748.80/115,572.80 = 45,508.16/x
  3. Step 3: Cross multiply
    83,748.80x = 115,572.80 × 45,508.16
  4. Step 4: Simplify right side
    83,748.80x = 5,259,505,474.05
  5. Step 5: Solve for x
    x = 5,259,505,474.05/83,748.80
  6. Step 6: Final answer
    x = 62,800.97

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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.