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Finding the Fourth Proportional to 115,891.11, 159,949.76 and 65,590.11

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Solution

The fourth proportional to 115,891.11, 159,949.76 and 65,590.11 is: 90,525.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,891.11 : 159,949.76 = 65,590.11 : x
  2. Step 2: Convert to fraction form
    115,891.11/159,949.76 = 65,590.11/x
  3. Step 3: Cross multiply
    115,891.11x = 159,949.76 × 65,590.11
  4. Step 4: Simplify right side
    115,891.11x = 10,491,122,024.92
  5. Step 5: Solve for x
    x = 10,491,122,024.92/115,891.11
  6. Step 6: Final answer
    x = 90,525.68

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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.