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Finding the Fourth Proportional to 221,102.78, 305,175.31 and 206,143.70

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Solution

The fourth proportional to 221,102.78, 305,175.31 and 206,143.70 is: 284,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.78 : 305,175.31 = 206,143.70 : x
  2. Step 2: Convert to fraction form
    221,102.78/305,175.31 = 206,143.70/x
  3. Step 3: Cross multiply
    221,102.78x = 305,175.31 × 206,143.70
  4. Step 4: Simplify right side
    221,102.78x = 62,909,965,510.81
  5. Step 5: Solve for x
    x = 62,909,965,510.81/221,102.78
  6. Step 6: Final answer
    x = 284,528.16

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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.