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Finding the Fourth Proportional to 209,230.72, 288,732.32 and 113,734.96

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Solution

The fourth proportional to 209,230.72, 288,732.32 and 113,734.96 is: 156,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230.72 : 288,732.32 = 113,734.96 : x
  2. Step 2: Convert to fraction form
    209,230.72/288,732.32 = 113,734.96/x
  3. Step 3: Cross multiply
    209,230.72x = 288,732.32 × 113,734.96
  4. Step 4: Simplify right side
    209,230.72x = 32,838,958,865.91
  5. Step 5: Solve for x
    x = 32,838,958,865.91/209,230.72
  6. Step 6: Final answer
    x = 156,950.94

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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.