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Finding the Fourth Proportional to 113,921.80, 171,023.10 and 71,801.80

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Solution

The fourth proportional to 113,921.80, 171,023.10 and 71,801.80 is: 107,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,921.80 : 171,023.10 = 71,801.80 : x
  2. Step 2: Convert to fraction form
    113,921.80/171,023.10 = 71,801.80/x
  3. Step 3: Cross multiply
    113,921.80x = 171,023.10 × 71,801.80
  4. Step 4: Simplify right side
    113,921.80x = 12,279,766,421.58
  5. Step 5: Solve for x
    x = 12,279,766,421.58/113,921.80
  6. Step 6: Final answer
    x = 107,791.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.