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Finding the Fourth Proportional to 75,330, 113,033.88 and 38,394

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Solution

The fourth proportional to 75,330, 113,033.88 and 38,394 is: 57,610.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,330 : 113,033.88 = 38,394 : x
  2. Step 2: Convert to fraction form
    75,330/113,033.88 = 38,394/x
  3. Step 3: Cross multiply
    75,330x = 113,033.88 × 38,394
  4. Step 4: Simplify right side
    75,330x = 4,339,822,788.72
  5. Step 5: Solve for x
    x = 4,339,822,788.72/75,330
  6. Step 6: Final answer
    x = 57,610.82

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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.