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Finding the Fourth Proportional to 92,138.75, 138,202.65 and 54,209.35

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Solution

The fourth proportional to 92,138.75, 138,202.65 and 54,209.35 is: 81,310.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138.75 : 138,202.65 = 54,209.35 : x
  2. Step 2: Convert to fraction form
    92,138.75/138,202.65 = 54,209.35/x
  3. Step 3: Cross multiply
    92,138.75x = 138,202.65 × 54,209.35
  4. Step 4: Simplify right side
    92,138.75x = 7,491,874,862.72
  5. Step 5: Solve for x
    x = 7,491,874,862.72/92,138.75
  6. Step 6: Final answer
    x = 81,310.80

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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.