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Finding the Fourth Proportional to 208,799.72, 288,144.39 and 113,306.43

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Solution

The fourth proportional to 208,799.72, 288,144.39 and 113,306.43 is: 156,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,799.72 : 288,144.39 = 113,306.43 : x
  2. Step 2: Convert to fraction form
    208,799.72/288,144.39 = 113,306.43/x
  3. Step 3: Cross multiply
    208,799.72x = 288,144.39 × 113,306.43
  4. Step 4: Simplify right side
    208,799.72x = 32,648,612,155.43
  5. Step 5: Solve for x
    x = 32,648,612,155.43/208,799.72
  6. Step 6: Final answer
    x = 156,363.30

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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.