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Finding the Fourth Proportional to 138,908.24, 191,692.73 and 75,246.20

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Solution

The fourth proportional to 138,908.24, 191,692.73 and 75,246.20 is: 103,839.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,908.24 : 191,692.73 = 75,246.20 : x
  2. Step 2: Convert to fraction form
    138,908.24/191,692.73 = 75,246.20/x
  3. Step 3: Cross multiply
    138,908.24x = 191,692.73 × 75,246.20
  4. Step 4: Simplify right side
    138,908.24x = 14,424,148,729.78
  5. Step 5: Solve for x
    x = 14,424,148,729.78/138,908.24
  6. Step 6: Final answer
    x = 103,839.41

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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.