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Finding the Fourth Proportional to 120,691.30, 181,036.95 and 111,943.30

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Solution

The fourth proportional to 120,691.30, 181,036.95 and 111,943.30 is: 167,914.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,691.30 : 181,036.95 = 111,943.30 : x
  2. Step 2: Convert to fraction form
    120,691.30/181,036.95 = 111,943.30/x
  3. Step 3: Cross multiply
    120,691.30x = 181,036.95 × 111,943.30
  4. Step 4: Simplify right side
    120,691.30x = 20,265,873,604.94
  5. Step 5: Solve for x
    x = 20,265,873,604.94/120,691.30
  6. Step 6: Final answer
    x = 167,914.95

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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.