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Finding the Fourth Proportional to 221,652.34, 332,970.63 and 137,474.74

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Solution

The fourth proportional to 221,652.34, 332,970.63 and 137,474.74 is: 206,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,652.34 : 332,970.63 = 137,474.74 : x
  2. Step 2: Convert to fraction form
    221,652.34/332,970.63 = 137,474.74/x
  3. Step 3: Cross multiply
    221,652.34x = 332,970.63 × 137,474.74
  4. Step 4: Simplify right side
    221,652.34x = 45,775,050,786.89
  5. Step 5: Solve for x
    x = 45,775,050,786.89/221,652.34
  6. Step 6: Final answer
    x = 206,517.34

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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.