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Finding the Fourth Proportional to 208,823.32, 288,174.67 and 113,327.97

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Solution

The fourth proportional to 208,823.32, 288,174.67 and 113,327.97 is: 156,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,823.32 : 288,174.67 = 113,327.97 : x
  2. Step 2: Convert to fraction form
    208,823.32/288,174.67 = 113,327.97/x
  3. Step 3: Cross multiply
    208,823.32x = 288,174.67 × 113,327.97
  4. Step 4: Simplify right side
    208,823.32x = 32,658,250,356.52
  5. Step 5: Solve for x
    x = 32,658,250,356.52/208,823.32
  6. Step 6: Final answer
    x = 156,391.78

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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.