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Finding the Fourth Proportional to 180,503.48, 271,003.68 and 91,817

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Solution

The fourth proportional to 180,503.48, 271,003.68 and 91,817 is: 137,851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,503.48 : 271,003.68 = 91,817 : x
  2. Step 2: Convert to fraction form
    180,503.48/271,003.68 = 91,817/x
  3. Step 3: Cross multiply
    180,503.48x = 271,003.68 × 91,817
  4. Step 4: Simplify right side
    180,503.48x = 24,882,744,886.56
  5. Step 5: Solve for x
    x = 24,882,744,886.56/180,503.48
  6. Step 6: Final answer
    x = 137,851.88

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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.