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Finding the Fourth Proportional to 160,781.30, 221,891.49 and 89,184.45

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Solution

The fourth proportional to 160,781.30, 221,891.49 and 89,184.45 is: 123,081.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,781.30 : 221,891.49 = 89,184.45 : x
  2. Step 2: Convert to fraction form
    160,781.30/221,891.49 = 89,184.45/x
  3. Step 3: Cross multiply
    160,781.30x = 221,891.49 × 89,184.45
  4. Step 4: Simplify right side
    160,781.30x = 19,789,270,495.33
  5. Step 5: Solve for x
    x = 19,789,270,495.33/160,781.30
  6. Step 6: Final answer
    x = 123,081.92

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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.