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Finding the Fourth Proportional to 101,624.32, 140,245.76 and 56,912.64

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Solution

The fourth proportional to 101,624.32, 140,245.76 and 56,912.64 is: 78,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,624.32 : 140,245.76 = 56,912.64 : x
  2. Step 2: Convert to fraction form
    101,624.32/140,245.76 = 56,912.64/x
  3. Step 3: Cross multiply
    101,624.32x = 140,245.76 × 56,912.64
  4. Step 4: Simplify right side
    101,624.32x = 7,981,756,450.41
  5. Step 5: Solve for x
    x = 7,981,756,450.41/101,624.32
  6. Step 6: Final answer
    x = 78,541.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.