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Finding the Fourth Proportional to 221,082.82, 305,007.69 and 136,052.26

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Solution

The fourth proportional to 221,082.82, 305,007.69 and 136,052.26 is: 187,698.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.82 : 305,007.69 = 136,052.26 : x
  2. Step 2: Convert to fraction form
    221,082.82/305,007.69 = 136,052.26/x
  3. Step 3: Cross multiply
    221,082.82x = 305,007.69 × 136,052.26
  4. Step 4: Simplify right side
    221,082.82x = 41,496,985,541.88
  5. Step 5: Solve for x
    x = 41,496,985,541.88/221,082.82
  6. Step 6: Final answer
    x = 187,698.83

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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.