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Finding the Fourth Proportional to 80,375.69, 110,854.47 and 51,698.66

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Solution

The fourth proportional to 80,375.69, 110,854.47 and 51,698.66 is: 71,302.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,375.69 : 110,854.47 = 51,698.66 : x
  2. Step 2: Convert to fraction form
    80,375.69/110,854.47 = 51,698.66/x
  3. Step 3: Cross multiply
    80,375.69x = 110,854.47 × 51,698.66
  4. Step 4: Simplify right side
    80,375.69x = 5,731,027,193.61
  5. Step 5: Solve for x
    x = 5,731,027,193.61/80,375.69
  6. Step 6: Final answer
    x = 71,302.99

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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.