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Finding the Fourth Proportional to 80,806.77, 121,044.90 and 65,867.13

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Solution

The fourth proportional to 80,806.77, 121,044.90 and 65,867.13 is: 98,665.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,806.77 : 121,044.90 = 65,867.13 : x
  2. Step 2: Convert to fraction form
    80,806.77/121,044.90 = 65,867.13/x
  3. Step 3: Cross multiply
    80,806.77x = 121,044.90 × 65,867.13
  4. Step 4: Simplify right side
    80,806.77x = 7,972,880,164.14
  5. Step 5: Solve for x
    x = 7,972,880,164.14/80,806.77
  6. Step 6: Final answer
    x = 98,665.99

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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.