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Finding the Fourth Proportional to 165,143.41, 227,899.07 and 89,691.91

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Solution

The fourth proportional to 165,143.41, 227,899.07 and 89,691.91 is: 123,775.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,143.41 : 227,899.07 = 89,691.91 : x
  2. Step 2: Convert to fraction form
    165,143.41/227,899.07 = 89,691.91/x
  3. Step 3: Cross multiply
    165,143.41x = 227,899.07 × 89,691.91
  4. Step 4: Simplify right side
    165,143.41x = 20,440,702,193.66
  5. Step 5: Solve for x
    x = 20,440,702,193.66/165,143.41
  6. Step 6: Final answer
    x = 123,775.47

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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.