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Finding the Fourth Proportional to 154,378.76, 231,449.42 and 78,414.89

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Solution

The fourth proportional to 154,378.76, 231,449.42 and 78,414.89 is: 117,562.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,378.76 : 231,449.42 = 78,414.89 : x
  2. Step 2: Convert to fraction form
    154,378.76/231,449.42 = 78,414.89/x
  3. Step 3: Cross multiply
    154,378.76x = 231,449.42 × 78,414.89
  4. Step 4: Simplify right side
    154,378.76x = 18,149,079,995.68
  5. Step 5: Solve for x
    x = 18,149,079,995.68/154,378.76
  6. Step 6: Final answer
    x = 117,562.03

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1.5x scale

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.