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Finding the Fourth Proportional to 100,145.92, 138,193.68 and 57,676

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Solution

The fourth proportional to 100,145.92, 138,193.68 and 57,676 is: 79,588.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,145.92 : 138,193.68 = 57,676 : x
  2. Step 2: Convert to fraction form
    100,145.92/138,193.68 = 57,676/x
  3. Step 3: Cross multiply
    100,145.92x = 138,193.68 × 57,676
  4. Step 4: Simplify right side
    100,145.92x = 7,970,458,687.68
  5. Step 5: Solve for x
    x = 7,970,458,687.68/100,145.92
  6. Step 6: Final answer
    x = 79,588.45

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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.