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Finding the Fourth Proportional to 154,489.60, 231,734.40 and 54,762.40

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Solution

The fourth proportional to 154,489.60, 231,734.40 and 54,762.40 is: 82,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,489.60 : 231,734.40 = 54,762.40 : x
  2. Step 2: Convert to fraction form
    154,489.60/231,734.40 = 54,762.40/x
  3. Step 3: Cross multiply
    154,489.60x = 231,734.40 × 54,762.40
  4. Step 4: Simplify right side
    154,489.60x = 12,690,331,906.56
  5. Step 5: Solve for x
    x = 12,690,331,906.56/154,489.60
  6. Step 6: Final answer
    x = 82,143.60

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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.