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Finding the Fourth Proportional to 115,744.08, 159,730.20 and 65,442

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Solution

The fourth proportional to 115,744.08, 159,730.20 and 65,442 is: 90,311.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,744.08 : 159,730.20 = 65,442 : x
  2. Step 2: Convert to fraction form
    115,744.08/159,730.20 = 65,442/x
  3. Step 3: Cross multiply
    115,744.08x = 159,730.20 × 65,442
  4. Step 4: Simplify right side
    115,744.08x = 10,453,063,748.40
  5. Step 5: Solve for x
    x = 10,453,063,748.40/115,744.08
  6. Step 6: Final answer
    x = 90,311.87

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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.