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Finding the Fourth Proportional to 221,478.62, 332,270.78 and 71,719.07

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Solution

The fourth proportional to 221,478.62, 332,270.78 and 71,719.07 is: 107,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,478.62 : 332,270.78 = 71,719.07 : x
  2. Step 2: Convert to fraction form
    221,478.62/332,270.78 = 71,719.07/x
  3. Step 3: Cross multiply
    221,478.62x = 332,270.78 × 71,719.07
  4. Step 4: Simplify right side
    221,478.62x = 23,830,149,309.83
  5. Step 5: Solve for x
    x = 23,830,149,309.83/221,478.62
  6. Step 6: Final answer
    x = 107,595.71

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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.