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Finding the Fourth Proportional to 115,902.36, 159,934.50 and 65,601.36

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Solution

The fourth proportional to 115,902.36, 159,934.50 and 65,601.36 is: 90,523.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,902.36 : 159,934.50 = 65,601.36 : x
  2. Step 2: Convert to fraction form
    115,902.36/159,934.50 = 65,601.36/x
  3. Step 3: Cross multiply
    115,902.36x = 159,934.50 × 65,601.36
  4. Step 4: Simplify right side
    115,902.36x = 10,491,920,710.92
  5. Step 5: Solve for x
    x = 10,491,920,710.92/115,902.36
  6. Step 6: Final answer
    x = 90,523.79

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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.