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Finding the Fourth Proportional to 72,713.43, 100,358.91 and 47,183.96

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Solution

The fourth proportional to 72,713.43, 100,358.91 and 47,183.96 is: 65,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,713.43 : 100,358.91 = 47,183.96 : x
  2. Step 2: Convert to fraction form
    72,713.43/100,358.91 = 47,183.96/x
  3. Step 3: Cross multiply
    72,713.43x = 100,358.91 × 47,183.96
  4. Step 4: Simplify right side
    72,713.43x = 4,735,330,795.08
  5. Step 5: Solve for x
    x = 4,735,330,795.08/72,713.43
  6. Step 6: Final answer
    x = 65,123.19

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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.