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Finding the Fourth Proportional to 108,675, 149,920.47 and 76,861.44

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Solution

The fourth proportional to 108,675, 149,920.47 and 76,861.44 is: 106,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,675 : 149,920.47 = 76,861.44 : x
  2. Step 2: Convert to fraction form
    108,675/149,920.47 = 76,861.44/x
  3. Step 3: Cross multiply
    108,675x = 149,920.47 × 76,861.44
  4. Step 4: Simplify right side
    108,675x = 11,523,103,209.68
  5. Step 5: Solve for x
    x = 11,523,103,209.68/108,675
  6. Step 6: Final answer
    x = 106,032.70

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1.5x scale

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.