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Finding the Fourth Proportional to 115,854.90, 159,882.18 and 65,553.90

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Solution

The fourth proportional to 115,854.90, 159,882.18 and 65,553.90 is: 90,465.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,854.90 : 159,882.18 = 65,553.90 : x
  2. Step 2: Convert to fraction form
    115,854.90/159,882.18 = 65,553.90/x
  3. Step 3: Cross multiply
    115,854.90x = 159,882.18 × 65,553.90
  4. Step 4: Simplify right side
    115,854.90x = 10,480,900,439.50
  5. Step 5: Solve for x
    x = 10,480,900,439.50/115,854.90
  6. Step 6: Final answer
    x = 90,465.75

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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.