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Finding the Fourth Proportional to 120,083.76, 165,622.32 and 77,067.36

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Solution

The fourth proportional to 120,083.76, 165,622.32 and 77,067.36 is: 106,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,083.76 : 165,622.32 = 77,067.36 : x
  2. Step 2: Convert to fraction form
    120,083.76/165,622.32 = 77,067.36/x
  3. Step 3: Cross multiply
    120,083.76x = 165,622.32 × 77,067.36
  4. Step 4: Simplify right side
    120,083.76x = 12,764,074,959.48
  5. Step 5: Solve for x
    x = 12,764,074,959.48/120,083.76
  6. Step 6: Final answer
    x = 106,293.10

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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.