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Finding the Fourth Proportional to 165,226.58, 228,014.07 and 89,775.08

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Solution

The fourth proportional to 165,226.58, 228,014.07 and 89,775.08 is: 123,890.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,226.58 : 228,014.07 = 89,775.08 : x
  2. Step 2: Convert to fraction form
    165,226.58/228,014.07 = 89,775.08/x
  3. Step 3: Cross multiply
    165,226.58x = 228,014.07 × 89,775.08
  4. Step 4: Simplify right side
    165,226.58x = 20,469,981,375.38
  5. Step 5: Solve for x
    x = 20,469,981,375.38/165,226.58
  6. Step 6: Final answer
    x = 123,890.37

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1.5x scale

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.