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Finding the Fourth Proportional to 115,797, 159,799.86 and 65,494.92

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Solution

The fourth proportional to 115,797, 159,799.86 and 65,494.92 is: 90,382.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,797 : 159,799.86 = 65,494.92 : x
  2. Step 2: Convert to fraction form
    115,797/159,799.86 = 65,494.92/x
  3. Step 3: Cross multiply
    115,797x = 159,799.86 × 65,494.92
  4. Step 4: Simplify right side
    115,797x = 10,466,079,046.71
  5. Step 5: Solve for x
    x = 10,466,079,046.71/115,797
  6. Step 6: Final answer
    x = 90,382.99

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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.