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Finding the Fourth Proportional to 92,138.58, 137,489.04 and 82,209.60

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Solution

The fourth proportional to 92,138.58, 137,489.04 and 82,209.60 is: 122,673.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,138.58 : 137,489.04 = 82,209.60 : x
  2. Step 2: Convert to fraction form
    92,138.58/137,489.04 = 82,209.60/x
  3. Step 3: Cross multiply
    92,138.58x = 137,489.04 × 82,209.60
  4. Step 4: Simplify right side
    92,138.58x = 11,302,918,982.78
  5. Step 5: Solve for x
    x = 11,302,918,982.78/92,138.58
  6. Step 6: Final answer
    x = 122,673.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.