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Finding the Fourth Proportional to 160,640.82, 221,685.57 and 89,022

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Solution

The fourth proportional to 160,640.82, 221,685.57 and 89,022 is: 122,851.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,640.82 : 221,685.57 = 89,022 : x
  2. Step 2: Convert to fraction form
    160,640.82/221,685.57 = 89,022/x
  3. Step 3: Cross multiply
    160,640.82x = 221,685.57 × 89,022
  4. Step 4: Simplify right side
    160,640.82x = 19,734,892,812.54
  5. Step 5: Solve for x
    x = 19,734,892,812.54/160,640.82
  6. Step 6: Final answer
    x = 122,851.05

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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.