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Finding the Fourth Proportional to 33,109.50, 45,691.11 and 18,205.50

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Solution

The fourth proportional to 33,109.50, 45,691.11 and 18,205.50 is: 25,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,109.50 : 45,691.11 = 18,205.50 : x
  2. Step 2: Convert to fraction form
    33,109.50/45,691.11 = 18,205.50/x
  3. Step 3: Cross multiply
    33,109.50x = 45,691.11 × 18,205.50
  4. Step 4: Simplify right side
    33,109.50x = 831,829,503.11
  5. Step 5: Solve for x
    x = 831,829,503.11/33,109.50
  6. Step 6: Final answer
    x = 25,123.59

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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.