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Finding the Fourth Proportional to 160,796.30, 221,912.51 and 89,199.38

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Solution

The fourth proportional to 160,796.30, 221,912.51 and 89,199.38 is: 123,102.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,796.30 : 221,912.51 = 89,199.38 : x
  2. Step 2: Convert to fraction form
    160,796.30/221,912.51 = 89,199.38/x
  3. Step 3: Cross multiply
    160,796.30x = 221,912.51 × 89,199.38
  4. Step 4: Simplify right side
    160,796.30x = 19,794,456,750.68
  5. Step 5: Solve for x
    x = 19,794,456,750.68/160,796.30
  6. Step 6: Final answer
    x = 123,102.69

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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.