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Finding the Fourth Proportional to 71,674.84, 107,569.14 and 38,419.48

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Solution

The fourth proportional to 71,674.84, 107,569.14 and 38,419.48 is: 57,659.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,674.84 : 107,569.14 = 38,419.48 : x
  2. Step 2: Convert to fraction form
    71,674.84/107,569.14 = 38,419.48/x
  3. Step 3: Cross multiply
    71,674.84x = 107,569.14 × 38,419.48
  4. Step 4: Simplify right side
    71,674.84x = 4,132,750,422.85
  5. Step 5: Solve for x
    x = 4,132,750,422.85/71,674.84
  6. Step 6: Final answer
    x = 57,659.71

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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.