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Finding the Fourth Proportional to 154,736, 231,744 and 150,479.20

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Solution

The fourth proportional to 154,736, 231,744 and 150,479.20 is: 225,368.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,736 : 231,744 = 150,479.20 : x
  2. Step 2: Convert to fraction form
    154,736/231,744 = 150,479.20/x
  3. Step 3: Cross multiply
    154,736x = 231,744 × 150,479.20
  4. Step 4: Simplify right side
    154,736x = 34,872,651,724.80
  5. Step 5: Solve for x
    x = 34,872,651,724.80/154,736
  6. Step 6: Final answer
    x = 225,368.70

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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.