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Finding the Fourth Proportional to 119,904.71, 165,469.86 and 66,189.78

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Solution

The fourth proportional to 119,904.71, 165,469.86 and 66,189.78 is: 91,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,904.71 : 165,469.86 = 66,189.78 : x
  2. Step 2: Convert to fraction form
    119,904.71/165,469.86 = 66,189.78/x
  3. Step 3: Cross multiply
    119,904.71x = 165,469.86 × 66,189.78
  4. Step 4: Simplify right side
    119,904.71x = 10,952,413,630.03
  5. Step 5: Solve for x
    x = 10,952,413,630.03/119,904.71
  6. Step 6: Final answer
    x = 91,342.65

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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.