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Finding the Fourth Proportional to 154,105.92, 231,177.30 and 65,347.89

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Solution

The fourth proportional to 154,105.92, 231,177.30 and 65,347.89 is: 98,029.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,105.92 : 231,177.30 = 65,347.89 : x
  2. Step 2: Convert to fraction form
    154,105.92/231,177.30 = 65,347.89/x
  3. Step 3: Cross multiply
    154,105.92x = 231,177.30 × 65,347.89
  4. Step 4: Simplify right side
    154,105.92x = 15,106,948,770.90
  5. Step 5: Solve for x
    x = 15,106,948,770.90/154,105.92
  6. Step 6: Final answer
    x = 98,029.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.