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Finding the Fourth Proportional to 102,872.84, 154,321.68 and 36,299.30

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Solution

The fourth proportional to 102,872.84, 154,321.68 and 36,299.30 is: 54,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,872.84 : 154,321.68 = 36,299.30 : x
  2. Step 2: Convert to fraction form
    102,872.84/154,321.68 = 36,299.30/x
  3. Step 3: Cross multiply
    102,872.84x = 154,321.68 × 36,299.30
  4. Step 4: Simplify right side
    102,872.84x = 5,601,768,958.82
  5. Step 5: Solve for x
    x = 5,601,768,958.82/102,872.84
  6. Step 6: Final answer
    x = 54,453.33

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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.