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Finding the Fourth Proportional to 102,906.20, 154,272.90 and 53,658.20

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Solution

The fourth proportional to 102,906.20, 154,272.90 and 53,658.20 is: 80,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.20 : 154,272.90 = 53,658.20 : x
  2. Step 2: Convert to fraction form
    102,906.20/154,272.90 = 53,658.20/x
  3. Step 3: Cross multiply
    102,906.20x = 154,272.90 × 53,658.20
  4. Step 4: Simplify right side
    102,906.20x = 8,278,006,122.78
  5. Step 5: Solve for x
    x = 8,278,006,122.78/102,906.20
  6. Step 6: Final answer
    x = 80,442.25

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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.