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Finding the Fourth Proportional to 72,947.50, 109,411.52 and 20,362.30

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Solution

The fourth proportional to 72,947.50, 109,411.52 and 20,362.30 is: 30,540.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,947.50 : 109,411.52 = 20,362.30 : x
  2. Step 2: Convert to fraction form
    72,947.50/109,411.52 = 20,362.30/x
  3. Step 3: Cross multiply
    72,947.50x = 109,411.52 × 20,362.30
  4. Step 4: Simplify right side
    72,947.50x = 2,227,870,193.70
  5. Step 5: Solve for x
    x = 2,227,870,193.70/72,947.50
  6. Step 6: Final answer
    x = 30,540.73

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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.