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Finding the Fourth Proportional to 208,791.87, 288,133.56 and 113,298.57

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Solution

The fourth proportional to 208,791.87, 288,133.56 and 113,298.57 is: 156,352.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,791.87 : 288,133.56 = 113,298.57 : x
  2. Step 2: Convert to fraction form
    208,791.87/288,133.56 = 113,298.57/x
  3. Step 3: Cross multiply
    208,791.87x = 288,133.56 × 113,298.57
  4. Step 4: Simplify right side
    208,791.87x = 32,645,118,309.85
  5. Step 5: Solve for x
    x = 32,645,118,309.85/208,791.87
  6. Step 6: Final answer
    x = 156,352.44

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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.