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Finding the Fourth Proportional to 221,082.32, 305,007 and 136,051.76

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Solution

The fourth proportional to 221,082.32, 305,007 and 136,051.76 is: 187,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,082.32 : 305,007 = 136,051.76 : x
  2. Step 2: Convert to fraction form
    221,082.32/305,007 = 136,051.76/x
  3. Step 3: Cross multiply
    221,082.32x = 305,007 × 136,051.76
  4. Step 4: Simplify right side
    221,082.32x = 41,496,739,162.32
  5. Step 5: Solve for x
    x = 41,496,739,162.32/221,082.32
  6. Step 6: Final answer
    x = 187,698.14

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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.