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Finding the Fourth Proportional to 137,946, 206,919 and 39,450

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Solution

The fourth proportional to 137,946, 206,919 and 39,450 is: 59,175

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,946 : 206,919 = 39,450 : x
  2. Step 2: Convert to fraction form
    137,946/206,919 = 39,450/x
  3. Step 3: Cross multiply
    137,946x = 206,919 × 39,450
  4. Step 4: Simplify right side
    137,946x = 8,162,954,550
  5. Step 5: Solve for x
    x = 8,162,954,550/137,946
  6. Step 6: Final answer
    x = 59,175

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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.