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Finding the Fourth Proportional to 109,607.20, 164,410.80 and 80,082.70

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Solution

The fourth proportional to 109,607.20, 164,410.80 and 80,082.70 is: 120,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,607.20 : 164,410.80 = 80,082.70 : x
  2. Step 2: Convert to fraction form
    109,607.20/164,410.80 = 80,082.70/x
  3. Step 3: Cross multiply
    109,607.20x = 164,410.80 × 80,082.70
  4. Step 4: Simplify right side
    109,607.20x = 13,166,460,773.16
  5. Step 5: Solve for x
    x = 13,166,460,773.16/109,607.20
  6. Step 6: Final answer
    x = 120,124.05

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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.