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Finding the Fourth Proportional to 208,764, 288,092.40 and 113,273.76

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Solution

The fourth proportional to 208,764, 288,092.40 and 113,273.76 is: 156,316.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,764 : 288,092.40 = 113,273.76 : x
  2. Step 2: Convert to fraction form
    208,764/288,092.40 = 113,273.76/x
  3. Step 3: Cross multiply
    208,764x = 288,092.40 × 113,273.76
  4. Step 4: Simplify right side
    208,764x = 32,633,309,375.42
  5. Step 5: Solve for x
    x = 32,633,309,375.42/208,764
  6. Step 6: Final answer
    x = 156,316.75

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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.