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Finding the Fourth Proportional to 70,287.34, 105,493.38 and 32,867.78

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Solution

The fourth proportional to 70,287.34, 105,493.38 and 32,867.78 is: 49,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,287.34 : 105,493.38 = 32,867.78 : x
  2. Step 2: Convert to fraction form
    70,287.34/105,493.38 = 32,867.78/x
  3. Step 3: Cross multiply
    70,287.34x = 105,493.38 × 32,867.78
  4. Step 4: Simplify right side
    70,287.34x = 3,467,333,205.30
  5. Step 5: Solve for x
    x = 3,467,333,205.30/70,287.34
  6. Step 6: Final answer
    x = 49,330.84

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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.