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Finding the Fourth Proportional to 72,478.92, 108,713.52 and 19,884

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Solution

The fourth proportional to 72,478.92, 108,713.52 and 19,884 is: 29,824.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,478.92 : 108,713.52 = 19,884 : x
  2. Step 2: Convert to fraction form
    72,478.92/108,713.52 = 19,884/x
  3. Step 3: Cross multiply
    72,478.92x = 108,713.52 × 19,884
  4. Step 4: Simplify right side
    72,478.92x = 2,161,659,631.68
  5. Step 5: Solve for x
    x = 2,161,659,631.68/72,478.92
  6. Step 6: Final answer
    x = 29,824.67

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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.