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Finding the Fourth Proportional to 117,757.69, 176,993.40 and 77,912.58

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Solution

The fourth proportional to 117,757.69, 176,993.40 and 77,912.58 is: 117,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,757.69 : 176,993.40 = 77,912.58 : x
  2. Step 2: Convert to fraction form
    117,757.69/176,993.40 = 77,912.58/x
  3. Step 3: Cross multiply
    117,757.69x = 176,993.40 × 77,912.58
  4. Step 4: Simplify right side
    117,757.69x = 13,790,012,436.97
  5. Step 5: Solve for x
    x = 13,790,012,436.97/117,757.69
  6. Step 6: Final answer
    x = 117,104.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.