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Finding the Fourth Proportional to 213,932.78, 320,948.39 and 71,796.92

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Solution

The fourth proportional to 213,932.78, 320,948.39 and 71,796.92 is: 107,711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,932.78 : 320,948.39 = 71,796.92 : x
  2. Step 2: Convert to fraction form
    213,932.78/320,948.39 = 71,796.92/x
  3. Step 3: Cross multiply
    213,932.78x = 320,948.39 × 71,796.92
  4. Step 4: Simplify right side
    213,932.78x = 23,043,105,506.82
  5. Step 5: Solve for x
    x = 23,043,105,506.82/213,932.78
  6. Step 6: Final answer
    x = 107,711.90

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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.