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Finding the Fourth Proportional to 100,020.28, 138,042.48 and 57,578.44

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Solution

The fourth proportional to 100,020.28, 138,042.48 and 57,578.44 is: 79,466.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,020.28 : 138,042.48 = 57,578.44 : x
  2. Step 2: Convert to fraction form
    100,020.28/138,042.48 = 57,578.44/x
  3. Step 3: Cross multiply
    100,020.28x = 138,042.48 × 57,578.44
  4. Step 4: Simplify right side
    100,020.28x = 7,948,270,652.13
  5. Step 5: Solve for x
    x = 7,948,270,652.13/100,020.28
  6. Step 6: Final answer
    x = 79,466.59

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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.