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Finding the Fourth Proportional to 120,351.67, 165,934.56 and 77,255.13

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Solution

The fourth proportional to 120,351.67, 165,934.56 and 77,255.13 is: 106,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,351.67 : 165,934.56 = 77,255.13 : x
  2. Step 2: Convert to fraction form
    120,351.67/165,934.56 = 77,255.13/x
  3. Step 3: Cross multiply
    120,351.67x = 165,934.56 × 77,255.13
  4. Step 4: Simplify right side
    120,351.67x = 12,819,296,107.58
  5. Step 5: Solve for x
    x = 12,819,296,107.58/120,351.67
  6. Step 6: Final answer
    x = 106,515.31

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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.