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Finding the Fourth Proportional to 160,634.90, 221,678.02 and 89,016.12

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Solution

The fourth proportional to 160,634.90, 221,678.02 and 89,016.12 is: 122,843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,634.90 : 221,678.02 = 89,016.12 : x
  2. Step 2: Convert to fraction form
    160,634.90/221,678.02 = 89,016.12/x
  3. Step 3: Cross multiply
    160,634.90x = 221,678.02 × 89,016.12
  4. Step 4: Simplify right side
    160,634.90x = 19,732,917,229.68
  5. Step 5: Solve for x
    x = 19,732,917,229.68/160,634.90
  6. Step 6: Final answer
    x = 122,843.28

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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.