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Finding the Fourth Proportional to 108,676, 149,921.85 and 76,862.44

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Solution

The fourth proportional to 108,676, 149,921.85 and 76,862.44 is: 106,034.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,676 : 149,921.85 = 76,862.44 : x
  2. Step 2: Convert to fraction form
    108,676/149,921.85 = 76,862.44/x
  3. Step 3: Cross multiply
    108,676x = 149,921.85 × 76,862.44
  4. Step 4: Simplify right side
    108,676x = 11,523,359,200.31
  5. Step 5: Solve for x
    x = 11,523,359,200.31/108,676
  6. Step 6: Final answer
    x = 106,034.08

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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.