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Finding the Fourth Proportional to 121,456.25, 167,624.25 and 71,155.25

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Solution

The fourth proportional to 121,456.25, 167,624.25 and 71,155.25 is: 98,202.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,456.25 : 167,624.25 = 71,155.25 : x
  2. Step 2: Convert to fraction form
    121,456.25/167,624.25 = 71,155.25/x
  3. Step 3: Cross multiply
    121,456.25x = 167,624.25 × 71,155.25
  4. Step 4: Simplify right side
    121,456.25x = 11,927,345,414.81
  5. Step 5: Solve for x
    x = 11,927,345,414.81/121,456.25
  6. Step 6: Final answer
    x = 98,202.81

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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.