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Finding the Fourth Proportional to 221,700.31, 305,855.85 and 163,696.06

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Solution

The fourth proportional to 221,700.31, 305,855.85 and 163,696.06 is: 225,833.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,700.31 : 305,855.85 = 163,696.06 : x
  2. Step 2: Convert to fraction form
    221,700.31/305,855.85 = 163,696.06/x
  3. Step 3: Cross multiply
    221,700.31x = 305,855.85 × 163,696.06
  4. Step 4: Simplify right side
    221,700.31x = 50,067,397,572.95
  5. Step 5: Solve for x
    x = 50,067,397,572.95/221,700.31
  6. Step 6: Final answer
    x = 225,833.68

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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.