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Finding the Fourth Proportional to 206,920, 310,380 and 59,176

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Solution

The fourth proportional to 206,920, 310,380 and 59,176 is: 88,764

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,920 : 310,380 = 59,176 : x
  2. Step 2: Convert to fraction form
    206,920/310,380 = 59,176/x
  3. Step 3: Cross multiply
    206,920x = 310,380 × 59,176
  4. Step 4: Simplify right side
    206,920x = 18,367,046,880
  5. Step 5: Solve for x
    x = 18,367,046,880/206,920
  6. Step 6: Final answer
    x = 88,764

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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.