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Finding the Fourth Proportional to 55,205.42, 82,821.90 and 25,644.20

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Solution

The fourth proportional to 55,205.42, 82,821.90 and 25,644.20 is: 38,472.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,205.42 : 82,821.90 = 25,644.20 : x
  2. Step 2: Convert to fraction form
    55,205.42/82,821.90 = 25,644.20/x
  3. Step 3: Cross multiply
    55,205.42x = 82,821.90 × 25,644.20
  4. Step 4: Simplify right side
    55,205.42x = 2,123,901,367.98
  5. Step 5: Solve for x
    x = 2,123,901,367.98/55,205.42
  6. Step 6: Final answer
    x = 38,472.70

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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.