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Finding the Fourth Proportional to 221,715, 332,605.36 and 81,462.70

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Solution

The fourth proportional to 221,715, 332,605.36 and 81,462.70 is: 122,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,715 : 332,605.36 = 81,462.70 : x
  2. Step 2: Convert to fraction form
    221,715/332,605.36 = 81,462.70/x
  3. Step 3: Cross multiply
    221,715x = 332,605.36 × 81,462.70
  4. Step 4: Simplify right side
    221,715x = 27,094,930,660.07
  5. Step 5: Solve for x
    x = 27,094,930,660.07/221,715
  6. Step 6: Final answer
    x = 122,206.12

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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.