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Finding the Fourth Proportional to 154,200.80, 231,052.80 and 87,442.40

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Solution

The fourth proportional to 154,200.80, 231,052.80 and 87,442.40 is: 131,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,200.80 : 231,052.80 = 87,442.40 : x
  2. Step 2: Convert to fraction form
    154,200.80/231,052.80 = 87,442.40/x
  3. Step 3: Cross multiply
    154,200.80x = 231,052.80 × 87,442.40
  4. Step 4: Simplify right side
    154,200.80x = 20,203,811,358.72
  5. Step 5: Solve for x
    x = 20,203,811,358.72/154,200.80
  6. Step 6: Final answer
    x = 131,022.74

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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.