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Finding the Fourth Proportional to 67,281.78, 92,846.40 and 38,982

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Solution

The fourth proportional to 67,281.78, 92,846.40 and 38,982 is: 53,793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,281.78 : 92,846.40 = 38,982 : x
  2. Step 2: Convert to fraction form
    67,281.78/92,846.40 = 38,982/x
  3. Step 3: Cross multiply
    67,281.78x = 92,846.40 × 38,982
  4. Step 4: Simplify right side
    67,281.78x = 3,619,338,364.80
  5. Step 5: Solve for x
    x = 3,619,338,364.80/67,281.78
  6. Step 6: Final answer
    x = 53,793.74

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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.