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Finding the Fourth Proportional to 71,646.39, 107,380.49 and 38,284.11

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Solution

The fourth proportional to 71,646.39, 107,380.49 and 38,284.11 is: 57,378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,646.39 : 107,380.49 = 38,284.11 : x
  2. Step 2: Convert to fraction form
    71,646.39/107,380.49 = 38,284.11/x
  3. Step 3: Cross multiply
    71,646.39x = 107,380.49 × 38,284.11
  4. Step 4: Simplify right side
    71,646.39x = 4,110,966,299.59
  5. Step 5: Solve for x
    x = 4,110,966,299.59/71,646.39
  6. Step 6: Final answer
    x = 57,378.55

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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.