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Finding the Fourth Proportional to 160,781.70, 221,879.34 and 89,168.34

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Solution

The fourth proportional to 160,781.70, 221,879.34 and 89,168.34 is: 123,052.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,781.70 : 221,879.34 = 89,168.34 : x
  2. Step 2: Convert to fraction form
    160,781.70/221,879.34 = 89,168.34/x
  3. Step 3: Cross multiply
    160,781.70x = 221,879.34 × 89,168.34
  4. Step 4: Simplify right side
    160,781.70x = 19,784,612,428.10
  5. Step 5: Solve for x
    x = 19,784,612,428.10/160,781.70
  6. Step 6: Final answer
    x = 123,052.64

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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.