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Finding the Fourth Proportional to 221,082.98, 305,007.90 and 136,052.42

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Solution

The fourth proportional to 221,082.98, 305,007.90 and 136,052.42 is: 187,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.98 : 305,007.90 = 136,052.42 : x
  2. Step 2: Convert to fraction form
    221,082.98/305,007.90 = 136,052.42/x
  3. Step 3: Cross multiply
    221,082.98x = 305,007.90 × 136,052.42
  4. Step 4: Simplify right side
    221,082.98x = 41,497,062,914.12
  5. Step 5: Solve for x
    x = 41,497,062,914.12/221,082.98
  6. Step 6: Final answer
    x = 187,699.04

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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.