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Finding the Fourth Proportional to 160,757.96, 221,857.13 and 89,144.64

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Solution

The fourth proportional to 160,757.96, 221,857.13 and 89,144.64 is: 123,025.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,757.96 : 221,857.13 = 89,144.64 : x
  2. Step 2: Convert to fraction form
    160,757.96/221,857.13 = 89,144.64/x
  3. Step 3: Cross multiply
    160,757.96x = 221,857.13 × 89,144.64
  4. Step 4: Simplify right side
    160,757.96x = 19,777,373,539.56
  5. Step 5: Solve for x
    x = 19,777,373,539.56/160,757.96
  6. Step 6: Final answer
    x = 123,025.78

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1.5x scale

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.