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Finding the Fourth Proportional to 119,669.13, 165,141.11 and 65,221.74

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Solution

The fourth proportional to 119,669.13, 165,141.11 and 65,221.74 is: 90,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,669.13 : 165,141.11 = 65,221.74 : x
  2. Step 2: Convert to fraction form
    119,669.13/165,141.11 = 65,221.74/x
  3. Step 3: Cross multiply
    119,669.13x = 165,141.11 × 65,221.74
  4. Step 4: Simplify right side
    119,669.13x = 10,770,790,702.79
  5. Step 5: Solve for x
    x = 10,770,790,702.79/119,669.13
  6. Step 6: Final answer
    x = 90,004.75

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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.