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Finding the Fourth Proportional to 71,964.34, 107,920.60 and 30,414.58

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Solution

The fourth proportional to 71,964.34, 107,920.60 and 30,414.58 is: 45,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,964.34 : 107,920.60 = 30,414.58 : x
  2. Step 2: Convert to fraction form
    71,964.34/107,920.60 = 30,414.58/x
  3. Step 3: Cross multiply
    71,964.34x = 107,920.60 × 30,414.58
  4. Step 4: Simplify right side
    71,964.34x = 3,282,359,722.35
  5. Step 5: Solve for x
    x = 3,282,359,722.35/71,964.34
  6. Step 6: Final answer
    x = 45,610.92

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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.