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Finding the Fourth Proportional to 81,605.91, 122,293.98 and 64,891.70

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Solution

The fourth proportional to 81,605.91, 122,293.98 and 64,891.70 is: 97,246.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,605.91 : 122,293.98 = 64,891.70 : x
  2. Step 2: Convert to fraction form
    81,605.91/122,293.98 = 64,891.70/x
  3. Step 3: Cross multiply
    81,605.91x = 122,293.98 × 64,891.70
  4. Step 4: Simplify right side
    81,605.91x = 7,935,864,261.97
  5. Step 5: Solve for x
    x = 7,935,864,261.97/81,605.91
  6. Step 6: Final answer
    x = 97,246.20

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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.