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Finding the Fourth Proportional to 119,699.25, 165,062.25 and 78,874.04

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Solution

The fourth proportional to 119,699.25, 165,062.25 and 78,874.04 is: 108,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,699.25 : 165,062.25 = 78,874.04 : x
  2. Step 2: Convert to fraction form
    119,699.25/165,062.25 = 78,874.04/x
  3. Step 3: Cross multiply
    119,699.25x = 165,062.25 × 78,874.04
  4. Step 4: Simplify right side
    119,699.25x = 13,019,125,683.68
  5. Step 5: Solve for x
    x = 13,019,125,683.68/119,699.25
  6. Step 6: Final answer
    x = 108,765.31

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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.