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Finding the Fourth Proportional to 138,744.84, 191,469.23 and 75,083.96

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Solution

The fourth proportional to 138,744.84, 191,469.23 and 75,083.96 is: 103,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,744.84 : 191,469.23 = 75,083.96 : x
  2. Step 2: Convert to fraction form
    138,744.84/191,469.23 = 75,083.96/x
  3. Step 3: Cross multiply
    138,744.84x = 191,469.23 × 75,083.96
  4. Step 4: Simplify right side
    138,744.84x = 14,376,268,006.55
  5. Step 5: Solve for x
    x = 14,376,268,006.55/138,744.84
  6. Step 6: Final answer
    x = 103,616.60

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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.