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Finding the Fourth Proportional to 221,759.02, 306,082.12 and 126,321.98

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Solution

The fourth proportional to 221,759.02, 306,082.12 and 126,321.98 is: 174,355.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,759.02 : 306,082.12 = 126,321.98 : x
  2. Step 2: Convert to fraction form
    221,759.02/306,082.12 = 126,321.98/x
  3. Step 3: Cross multiply
    221,759.02x = 306,082.12 × 126,321.98
  4. Step 4: Simplify right side
    221,759.02x = 38,664,899,198.07
  5. Step 5: Solve for x
    x = 38,664,899,198.07/221,759.02
  6. Step 6: Final answer
    x = 174,355.48

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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.