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Finding the Fourth Proportional to 138,616.26, 191,289.87 and 74,954.04

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Solution

The fourth proportional to 138,616.26, 191,289.87 and 74,954.04 is: 103,436.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,616.26 : 191,289.87 = 74,954.04 : x
  2. Step 2: Convert to fraction form
    138,616.26/191,289.87 = 74,954.04/x
  3. Step 3: Cross multiply
    138,616.26x = 191,289.87 × 74,954.04
  4. Step 4: Simplify right side
    138,616.26x = 14,337,948,567.57
  5. Step 5: Solve for x
    x = 14,337,948,567.57/138,616.26
  6. Step 6: Final answer
    x = 103,436.27

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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.