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Finding the Fourth Proportional to 221,489.70, 332,283.15 and 109,223.70

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Solution

The fourth proportional to 221,489.70, 332,283.15 and 109,223.70 is: 163,859.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,489.70 : 332,283.15 = 109,223.70 : x
  2. Step 2: Convert to fraction form
    221,489.70/332,283.15 = 109,223.70/x
  3. Step 3: Cross multiply
    221,489.70x = 332,283.15 × 109,223.70
  4. Step 4: Simplify right side
    221,489.70x = 36,293,195,090.66
  5. Step 5: Solve for x
    x = 36,293,195,090.66/221,489.70
  6. Step 6: Final answer
    x = 163,859.52

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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.