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Finding the Fourth Proportional to 100,042.56, 138,058.92 and 54,720.78

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Solution

The fourth proportional to 100,042.56, 138,058.92 and 54,720.78 is: 75,514.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,042.56 : 138,058.92 = 54,720.78 : x
  2. Step 2: Convert to fraction form
    100,042.56/138,058.92 = 54,720.78/x
  3. Step 3: Cross multiply
    100,042.56x = 138,058.92 × 54,720.78
  4. Step 4: Simplify right side
    100,042.56x = 7,554,691,788.36
  5. Step 5: Solve for x
    x = 7,554,691,788.36/100,042.56
  6. Step 6: Final answer
    x = 75,514.78

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1.5x scale

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.