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Finding the Fourth Proportional to 187,082.46, 280,718.46 and 81,902.34

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Solution

The fourth proportional to 187,082.46, 280,718.46 and 81,902.34 is: 122,895.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082.46 : 280,718.46 = 81,902.34 : x
  2. Step 2: Convert to fraction form
    187,082.46/280,718.46 = 81,902.34/x
  3. Step 3: Cross multiply
    187,082.46x = 280,718.46 × 81,902.34
  4. Step 4: Simplify right side
    187,082.46x = 22,991,498,755.20
  5. Step 5: Solve for x
    x = 22,991,498,755.20/187,082.46
  6. Step 6: Final answer
    x = 122,895.00

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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.