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Finding the Fourth Proportional to 203,565.80, 280,922.49 and 112,927.70

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Solution

The fourth proportional to 203,565.80, 280,922.49 and 112,927.70 is: 155,841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,565.80 : 280,922.49 = 112,927.70 : x
  2. Step 2: Convert to fraction form
    203,565.80/280,922.49 = 112,927.70/x
  3. Step 3: Cross multiply
    203,565.80x = 280,922.49 × 112,927.70
  4. Step 4: Simplify right side
    203,565.80x = 31,723,930,673.97
  5. Step 5: Solve for x
    x = 31,723,930,673.97/203,565.80
  6. Step 6: Final answer
    x = 155,841.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.