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Finding the Fourth Proportional to 119,912.52, 165,478.35 and 66,197.61

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Solution

The fourth proportional to 119,912.52, 165,478.35 and 66,197.61 is: 91,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,912.52 : 165,478.35 = 66,197.61 : x
  2. Step 2: Convert to fraction form
    119,912.52/165,478.35 = 66,197.61/x
  3. Step 3: Cross multiply
    119,912.52x = 165,478.35 × 66,197.61
  4. Step 4: Simplify right side
    119,912.52x = 10,954,271,276.74
  5. Step 5: Solve for x
    x = 10,954,271,276.74/119,912.52
  6. Step 6: Final answer
    x = 91,352.19

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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.