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Finding the Fourth Proportional to 119,791.80, 165,365.82 and 77,371.02

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Solution

The fourth proportional to 119,791.80, 165,365.82 and 77,371.02 is: 106,806.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,791.80 : 165,365.82 = 77,371.02 : x
  2. Step 2: Convert to fraction form
    119,791.80/165,365.82 = 77,371.02/x
  3. Step 3: Cross multiply
    119,791.80x = 165,365.82 × 77,371.02
  4. Step 4: Simplify right side
    119,791.80x = 12,794,522,166.54
  5. Step 5: Solve for x
    x = 12,794,522,166.54/119,791.80
  6. Step 6: Final answer
    x = 106,806.33

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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.