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Finding the Fourth Proportional to 70,441.38, 105,678.54 and 20,522.43

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Solution

The fourth proportional to 70,441.38, 105,678.54 and 20,522.43 is: 30,788.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,441.38 : 105,678.54 = 20,522.43 : x
  2. Step 2: Convert to fraction form
    70,441.38/105,678.54 = 20,522.43/x
  3. Step 3: Cross multiply
    70,441.38x = 105,678.54 × 20,522.43
  4. Step 4: Simplify right side
    70,441.38x = 2,168,780,439.65
  5. Step 5: Solve for x
    x = 2,168,780,439.65/70,441.38
  6. Step 6: Final answer
    x = 30,788.44

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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.