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Finding the Fourth Proportional to 270,198.60, 405,079.11 and 112,545.06

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Solution

The fourth proportional to 270,198.60, 405,079.11 and 112,545.06 is: 168,726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,198.60 : 405,079.11 = 112,545.06 : x
  2. Step 2: Convert to fraction form
    270,198.60/405,079.11 = 112,545.06/x
  3. Step 3: Cross multiply
    270,198.60x = 405,079.11 × 112,545.06
  4. Step 4: Simplify right side
    270,198.60x = 45,589,652,739.70
  5. Step 5: Solve for x
    x = 45,589,652,739.70/270,198.60
  6. Step 6: Final answer
    x = 168,726.46

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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.