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Finding the Fourth Proportional to 154,081.40, 231,122.10 and 75,246.20

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Solution

The fourth proportional to 154,081.40, 231,122.10 and 75,246.20 is: 112,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,081.40 : 231,122.10 = 75,246.20 : x
  2. Step 2: Convert to fraction form
    154,081.40/231,122.10 = 75,246.20/x
  3. Step 3: Cross multiply
    154,081.40x = 231,122.10 × 75,246.20
  4. Step 4: Simplify right side
    154,081.40x = 17,391,059,761.02
  5. Step 5: Solve for x
    x = 17,391,059,761.02/154,081.40
  6. Step 6: Final answer
    x = 112,869.30

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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.