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Finding the Fourth Proportional to 102,711.80, 154,067.70 and 85,431.80

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Solution

The fourth proportional to 102,711.80, 154,067.70 and 85,431.80 is: 128,147.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711.80 : 154,067.70 = 85,431.80 : x
  2. Step 2: Convert to fraction form
    102,711.80/154,067.70 = 85,431.80/x
  3. Step 3: Cross multiply
    102,711.80x = 154,067.70 × 85,431.80
  4. Step 4: Simplify right side
    102,711.80x = 13,162,280,932.86
  5. Step 5: Solve for x
    x = 13,162,280,932.86/102,711.80
  6. Step 6: Final answer
    x = 128,147.70

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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.