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Finding the Fourth Proportional to 67,890, 93,688.20 and 41,394

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Solution

The fourth proportional to 67,890, 93,688.20 and 41,394 is: 57,123.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,890 : 93,688.20 = 41,394 : x
  2. Step 2: Convert to fraction form
    67,890/93,688.20 = 41,394/x
  3. Step 3: Cross multiply
    67,890x = 93,688.20 × 41,394
  4. Step 4: Simplify right side
    67,890x = 3,878,129,350.80
  5. Step 5: Solve for x
    x = 3,878,129,350.80/67,890
  6. Step 6: Final answer
    x = 57,123.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.