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Finding the Fourth Proportional to 160,680, 221,646.06 and 100,221.60

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Solution

The fourth proportional to 160,680, 221,646.06 and 100,221.60 is: 138,248.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,680 : 221,646.06 = 100,221.60 : x
  2. Step 2: Convert to fraction form
    160,680/221,646.06 = 100,221.60/x
  3. Step 3: Cross multiply
    160,680x = 221,646.06 × 100,221.60
  4. Step 4: Simplify right side
    160,680x = 22,213,722,766.90
  5. Step 5: Solve for x
    x = 22,213,722,766.90/160,680
  6. Step 6: Final answer
    x = 138,248.21

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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.