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Finding the Fourth Proportional to 73,074, 100,842.21 and 39,540

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Solution

The fourth proportional to 73,074, 100,842.21 and 39,540 is: 54,565.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,074 : 100,842.21 = 39,540 : x
  2. Step 2: Convert to fraction form
    73,074/100,842.21 = 39,540/x
  3. Step 3: Cross multiply
    73,074x = 100,842.21 × 39,540
  4. Step 4: Simplify right side
    73,074x = 3,987,300,983.40
  5. Step 5: Solve for x
    x = 3,987,300,983.40/73,074
  6. Step 6: Final answer
    x = 54,565.25

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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.