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Finding the Fourth Proportional to 165,140.70, 227,885.67 and 89,689.02

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Solution

The fourth proportional to 165,140.70, 227,885.67 and 89,689.02 is: 123,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,140.70 : 227,885.67 = 89,689.02 : x
  2. Step 2: Convert to fraction form
    165,140.70/227,885.67 = 89,689.02/x
  3. Step 3: Cross multiply
    165,140.70x = 227,885.67 × 89,689.02
  4. Step 4: Simplify right side
    165,140.70x = 20,438,842,414.34
  5. Step 5: Solve for x
    x = 20,438,842,414.34/165,140.70
  6. Step 6: Final answer
    x = 123,766.23

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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.