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Finding the Fourth Proportional to 221,264, 305,367.36 and 136,378.88

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Solution

The fourth proportional to 221,264, 305,367.36 and 136,378.88 is: 188,217.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,264 : 305,367.36 = 136,378.88 : x
  2. Step 2: Convert to fraction form
    221,264/305,367.36 = 136,378.88/x
  3. Step 3: Cross multiply
    221,264x = 305,367.36 × 136,378.88
  4. Step 4: Simplify right side
    221,264x = 41,645,658,545.36
  5. Step 5: Solve for x
    x = 41,645,658,545.36/221,264
  6. Step 6: Final answer
    x = 188,217.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.