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Finding the Fourth Proportional to 203,363.26, 280,658.10 and 112,747.65

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Solution

The fourth proportional to 203,363.26, 280,658.10 and 112,747.65 is: 155,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,363.26 : 280,658.10 = 112,747.65 : x
  2. Step 2: Convert to fraction form
    203,363.26/280,658.10 = 112,747.65/x
  3. Step 3: Cross multiply
    203,363.26x = 280,658.10 × 112,747.65
  4. Step 4: Simplify right side
    203,363.26x = 31,643,539,964.60
  5. Step 5: Solve for x
    x = 31,643,539,964.60/203,363.26
  6. Step 6: Final answer
    x = 155,601.07

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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.