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Finding the Fourth Proportional to 138,798.56, 191,542.12 and 75,136.41

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Solution

The fourth proportional to 138,798.56, 191,542.12 and 75,136.41 is: 103,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,798.56 : 191,542.12 = 75,136.41 : x
  2. Step 2: Convert to fraction form
    138,798.56/191,542.12 = 75,136.41/x
  3. Step 3: Cross multiply
    138,798.56x = 191,542.12 × 75,136.41
  4. Step 4: Simplify right side
    138,798.56x = 14,391,787,072.75
  5. Step 5: Solve for x
    x = 14,391,787,072.75/138,798.56
  6. Step 6: Final answer
    x = 103,688.30

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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.