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Finding the Fourth Proportional to 66,742, 92,106.84 and 36,934

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Solution

The fourth proportional to 66,742, 92,106.84 and 36,934 is: 50,970.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,742 : 92,106.84 = 36,934 : x
  2. Step 2: Convert to fraction form
    66,742/92,106.84 = 36,934/x
  3. Step 3: Cross multiply
    66,742x = 92,106.84 × 36,934
  4. Step 4: Simplify right side
    66,742x = 3,401,874,028.56
  5. Step 5: Solve for x
    x = 3,401,874,028.56/66,742
  6. Step 6: Final answer
    x = 50,970.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.