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Finding the Fourth Proportional to 221,920.13, 332,964.03 and 133,235.46

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Solution

The fourth proportional to 221,920.13, 332,964.03 and 133,235.46 is: 199,903.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,920.13 : 332,964.03 = 133,235.46 : x
  2. Step 2: Convert to fraction form
    221,920.13/332,964.03 = 133,235.46/x
  3. Step 3: Cross multiply
    221,920.13x = 332,964.03 × 133,235.46
  4. Step 4: Simplify right side
    221,920.13x = 44,362,615,700.50
  5. Step 5: Solve for x
    x = 44,362,615,700.50/221,920.13
  6. Step 6: Final answer
    x = 199,903.53

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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.