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Finding the Fourth Proportional to 89,796, 123,854.40 and 76,273.44

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Solution

The fourth proportional to 89,796, 123,854.40 and 76,273.44 is: 105,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,796 : 123,854.40 = 76,273.44 : x
  2. Step 2: Convert to fraction form
    89,796/123,854.40 = 76,273.44/x
  3. Step 3: Cross multiply
    89,796x = 123,854.40 × 76,273.44
  4. Step 4: Simplify right side
    89,796x = 9,446,801,147.14
  5. Step 5: Solve for x
    x = 9,446,801,147.14/89,796
  6. Step 6: Final answer
    x = 105,202.92

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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.