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Finding the Fourth Proportional to 70,236.24, 105,393.24 and 28,680

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Solution

The fourth proportional to 70,236.24, 105,393.24 and 28,680 is: 43,035.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,236.24 : 105,393.24 = 28,680 : x
  2. Step 2: Convert to fraction form
    70,236.24/105,393.24 = 28,680/x
  3. Step 3: Cross multiply
    70,236.24x = 105,393.24 × 28,680
  4. Step 4: Simplify right side
    70,236.24x = 3,022,678,123.20
  5. Step 5: Solve for x
    x = 3,022,678,123.20/70,236.24
  6. Step 6: Final answer
    x = 43,035.88

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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.