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Finding the Fourth Proportional to 100,675.79, 138,935.22 and 54,738.52

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Solution

The fourth proportional to 100,675.79, 138,935.22 and 54,738.52 is: 75,540.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,675.79 : 138,935.22 = 54,738.52 : x
  2. Step 2: Convert to fraction form
    100,675.79/138,935.22 = 54,738.52/x
  3. Step 3: Cross multiply
    100,675.79x = 138,935.22 × 54,738.52
  4. Step 4: Simplify right side
    100,675.79x = 7,605,108,044.98
  5. Step 5: Solve for x
    x = 7,605,108,044.98/100,675.79
  6. Step 6: Final answer
    x = 75,540.59

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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.