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Finding the Fourth Proportional to 81,585.12, 122,363.12 and 51,914.88

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Solution

The fourth proportional to 81,585.12, 122,363.12 and 51,914.88 is: 77,863.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,585.12 : 122,363.12 = 51,914.88 : x
  2. Step 2: Convert to fraction form
    81,585.12/122,363.12 = 51,914.88/x
  3. Step 3: Cross multiply
    81,585.12x = 122,363.12 × 51,914.88
  4. Step 4: Simplify right side
    81,585.12x = 6,352,466,691.23
  5. Step 5: Solve for x
    x = 6,352,466,691.23/81,585.12
  6. Step 6: Final answer
    x = 77,863.06

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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.