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Finding the Fourth Proportional to 137,974.76, 206,956.38 and 39,478.76

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Solution

The fourth proportional to 137,974.76, 206,956.38 and 39,478.76 is: 59,216.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,974.76 : 206,956.38 = 39,478.76 : x
  2. Step 2: Convert to fraction form
    137,974.76/206,956.38 = 39,478.76/x
  3. Step 3: Cross multiply
    137,974.76x = 206,956.38 × 39,478.76
  4. Step 4: Simplify right side
    137,974.76x = 8,170,381,256.49
  5. Step 5: Solve for x
    x = 8,170,381,256.49/137,974.76
  6. Step 6: Final answer
    x = 59,216.49

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1.5x scale

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.