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Finding the Fourth Proportional to 120,425.82, 179,906.28 and 77,959.96

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Solution

The fourth proportional to 120,425.82, 179,906.28 and 77,959.96 is: 116,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,425.82 : 179,906.28 = 77,959.96 : x
  2. Step 2: Convert to fraction form
    120,425.82/179,906.28 = 77,959.96/x
  3. Step 3: Cross multiply
    120,425.82x = 179,906.28 × 77,959.96
  4. Step 4: Simplify right side
    120,425.82x = 14,025,486,392.55
  5. Step 5: Solve for x
    x = 14,025,486,392.55/120,425.82
  6. Step 6: Final answer
    x = 116,465.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.