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Finding the Fourth Proportional to 70,270.53, 105,236.88 and 40,193.61

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Solution

The fourth proportional to 70,270.53, 105,236.88 and 40,193.61 is: 60,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,270.53 : 105,236.88 = 40,193.61 : x
  2. Step 2: Convert to fraction form
    70,270.53/105,236.88 = 40,193.61/x
  3. Step 3: Cross multiply
    70,270.53x = 105,236.88 × 40,193.61
  4. Step 4: Simplify right side
    70,270.53x = 4,229,850,112.34
  5. Step 5: Solve for x
    x = 4,229,850,112.34/70,270.53
  6. Step 6: Final answer
    x = 60,193.80

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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.