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Finding the Fourth Proportional to 208,791.29, 288,138.38 and 122,734.50

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Solution

The fourth proportional to 208,791.29, 288,138.38 and 122,734.50 is: 169,377.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,791.29 : 288,138.38 = 122,734.50 : x
  2. Step 2: Convert to fraction form
    208,791.29/288,138.38 = 122,734.50/x
  3. Step 3: Cross multiply
    208,791.29x = 288,138.38 × 122,734.50
  4. Step 4: Simplify right side
    208,791.29x = 35,364,520,000.11
  5. Step 5: Solve for x
    x = 35,364,520,000.11/208,791.29
  6. Step 6: Final answer
    x = 169,377.37

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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.