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Finding the Fourth Proportional to 100,394.31, 138,542.97 and 57,951.93

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Solution

The fourth proportional to 100,394.31, 138,542.97 and 57,951.93 is: 79,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,394.31 : 138,542.97 = 57,951.93 : x
  2. Step 2: Convert to fraction form
    100,394.31/138,542.97 = 57,951.93/x
  3. Step 3: Cross multiply
    100,394.31x = 138,542.97 × 57,951.93
  4. Step 4: Simplify right side
    100,394.31x = 8,028,832,499.43
  5. Step 5: Solve for x
    x = 8,028,832,499.43/100,394.31
  6. Step 6: Final answer
    x = 79,972.98

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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.