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Finding the Fourth Proportional to 83,371.84, 114,975.42 and 77,179.38

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Solution

The fourth proportional to 83,371.84, 114,975.42 and 77,179.38 is: 106,435.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,371.84 : 114,975.42 = 77,179.38 : x
  2. Step 2: Convert to fraction form
    83,371.84/114,975.42 = 77,179.38/x
  3. Step 3: Cross multiply
    83,371.84x = 114,975.42 × 77,179.38
  4. Step 4: Simplify right side
    83,371.84x = 8,873,731,244.94
  5. Step 5: Solve for x
    x = 8,873,731,244.94/83,371.84
  6. Step 6: Final answer
    x = 106,435.59

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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.