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Finding the Fourth Proportional to 206,534.04, 309,833.49 and 88,206

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Solution

The fourth proportional to 206,534.04, 309,833.49 and 88,206 is: 132,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,534.04 : 309,833.49 = 88,206 : x
  2. Step 2: Convert to fraction form
    206,534.04/309,833.49 = 88,206/x
  3. Step 3: Cross multiply
    206,534.04x = 309,833.49 × 88,206
  4. Step 4: Simplify right side
    206,534.04x = 27,329,172,818.94
  5. Step 5: Solve for x
    x = 27,329,172,818.94/206,534.04
  6. Step 6: Final answer
    x = 132,322.85

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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.