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Finding the Fourth Proportional to 206,806.80, 309,942 and 92,870.49

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Solution

The fourth proportional to 206,806.80, 309,942 and 92,870.49 is: 139,185.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,806.80 : 309,942 = 92,870.49 : x
  2. Step 2: Convert to fraction form
    206,806.80/309,942 = 92,870.49/x
  3. Step 3: Cross multiply
    206,806.80x = 309,942 × 92,870.49
  4. Step 4: Simplify right side
    206,806.80x = 28,784,465,411.58
  5. Step 5: Solve for x
    x = 28,784,465,411.58/206,806.80
  6. Step 6: Final answer
    x = 139,185.29

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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.