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Finding the Fourth Proportional to 81,763.52, 122,580.08 and 75,202.88

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Solution

The fourth proportional to 81,763.52, 122,580.08 and 75,202.88 is: 112,744.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,763.52 : 122,580.08 = 75,202.88 : x
  2. Step 2: Convert to fraction form
    81,763.52/122,580.08 = 75,202.88/x
  3. Step 3: Cross multiply
    81,763.52x = 122,580.08 × 75,202.88
  4. Step 4: Simplify right side
    81,763.52x = 9,218,375,046.63
  5. Step 5: Solve for x
    x = 9,218,375,046.63/81,763.52
  6. Step 6: Final answer
    x = 112,744.35

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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.