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Finding the Fourth Proportional to 213,910.56, 295,227.72 and 123,249

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Solution

The fourth proportional to 213,910.56, 295,227.72 and 123,249 is: 170,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,910.56 : 295,227.72 = 123,249 : x
  2. Step 2: Convert to fraction form
    213,910.56/295,227.72 = 123,249/x
  3. Step 3: Cross multiply
    213,910.56x = 295,227.72 × 123,249
  4. Step 4: Simplify right side
    213,910.56x = 36,386,521,262.28
  5. Step 5: Solve for x
    x = 36,386,521,262.28/213,910.56
  6. Step 6: Final answer
    x = 170,101.57

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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.