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Finding the Fourth Proportional to 63,216, 87,229.44 and 34,920

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Solution

The fourth proportional to 63,216, 87,229.44 and 34,920 is: 48,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,216 : 87,229.44 = 34,920 : x
  2. Step 2: Convert to fraction form
    63,216/87,229.44 = 34,920/x
  3. Step 3: Cross multiply
    63,216x = 87,229.44 × 34,920
  4. Step 4: Simplify right side
    63,216x = 3,046,052,044.80
  5. Step 5: Solve for x
    x = 3,046,052,044.80/63,216
  6. Step 6: Final answer
    x = 48,184.83

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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.