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Finding the Fourth Proportional to 68,642.17, 102,923.84 and 36,581.78

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Solution

The fourth proportional to 68,642.17, 102,923.84 and 36,581.78 is: 54,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,642.17 : 102,923.84 = 36,581.78 : x
  2. Step 2: Convert to fraction form
    68,642.17/102,923.84 = 36,581.78/x
  3. Step 3: Cross multiply
    68,642.17x = 102,923.84 × 36,581.78
  4. Step 4: Simplify right side
    68,642.17x = 3,765,137,620.40
  5. Step 5: Solve for x
    x = 3,765,137,620.40/68,642.17
  6. Step 6: Final answer
    x = 54,851.67

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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.