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Finding the Fourth Proportional to 88,286, 121,834.68 and 48,542

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Solution

The fourth proportional to 88,286, 121,834.68 and 48,542 is: 66,987.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,286 : 121,834.68 = 48,542 : x
  2. Step 2: Convert to fraction form
    88,286/121,834.68 = 48,542/x
  3. Step 3: Cross multiply
    88,286x = 121,834.68 × 48,542
  4. Step 4: Simplify right side
    88,286x = 5,914,099,036.56
  5. Step 5: Solve for x
    x = 5,914,099,036.56/88,286
  6. Step 6: Final answer
    x = 66,987.96

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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.