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Finding the Fourth Proportional to 213,549.48, 320,906.21 and 113,780.97

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Solution

The fourth proportional to 213,549.48, 320,906.21 and 113,780.97 is: 170,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,549.48 : 320,906.21 = 113,780.97 : x
  2. Step 2: Convert to fraction form
    213,549.48/320,906.21 = 113,780.97/x
  3. Step 3: Cross multiply
    213,549.48x = 320,906.21 × 113,780.97
  4. Step 4: Simplify right side
    213,549.48x = 36,513,019,283.92
  5. Step 5: Solve for x
    x = 36,513,019,283.92/213,549.48
  6. Step 6: Final answer
    x = 170,981.54

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1.5x scale

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.