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Finding the Fourth Proportional to 209,230, 313,822.28 and 123,849.52

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Solution

The fourth proportional to 209,230, 313,822.28 and 123,849.52 is: 185,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,230 : 313,822.28 = 123,849.52 : x
  2. Step 2: Convert to fraction form
    209,230/313,822.28 = 123,849.52/x
  3. Step 3: Cross multiply
    209,230x = 313,822.28 × 123,849.52
  4. Step 4: Simplify right side
    209,230x = 38,866,738,743.31
  5. Step 5: Solve for x
    x = 38,866,738,743.31/209,230
  6. Step 6: Final answer
    x = 185,760.83

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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.