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Finding the Fourth Proportional to 80,154.53, 120,205.44 and 29,541.88

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Solution

The fourth proportional to 80,154.53, 120,205.44 and 29,541.88 is: 44,303.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,154.53 : 120,205.44 = 29,541.88 : x
  2. Step 2: Convert to fraction form
    80,154.53/120,205.44 = 29,541.88/x
  3. Step 3: Cross multiply
    80,154.53x = 120,205.44 × 29,541.88
  4. Step 4: Simplify right side
    80,154.53x = 3,551,094,082.80
  5. Step 5: Solve for x
    x = 3,551,094,082.80/80,154.53
  6. Step 6: Final answer
    x = 44,303.10

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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.