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Finding the Fourth Proportional to 165,980.16, 248,736.96 and 72,289.44

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Solution

The fourth proportional to 165,980.16, 248,736.96 and 72,289.44 is: 108,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,980.16 : 248,736.96 = 72,289.44 : x
  2. Step 2: Convert to fraction form
    165,980.16/248,736.96 = 72,289.44/x
  3. Step 3: Cross multiply
    165,980.16x = 248,736.96 × 72,289.44
  4. Step 4: Simplify right side
    165,980.16x = 17,981,055,545.70
  5. Step 5: Solve for x
    x = 17,981,055,545.70/165,980.16
  6. Step 6: Final answer
    x = 108,332.56

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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.