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Finding the Fourth Proportional to 154,523.60, 231,785.40 and 123,419.60

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Solution

The fourth proportional to 154,523.60, 231,785.40 and 123,419.60 is: 185,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,523.60 : 231,785.40 = 123,419.60 : x
  2. Step 2: Convert to fraction form
    154,523.60/231,785.40 = 123,419.60/x
  3. Step 3: Cross multiply
    154,523.60x = 231,785.40 × 123,419.60
  4. Step 4: Simplify right side
    154,523.60x = 28,606,861,353.84
  5. Step 5: Solve for x
    x = 28,606,861,353.84/154,523.60
  6. Step 6: Final answer
    x = 185,129.40

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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.