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Finding the Fourth Proportional to 72,709.21, 109,063.85 and 22,793.23

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Solution

The fourth proportional to 72,709.21, 109,063.85 and 22,793.23 is: 34,189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.21 : 109,063.85 = 22,793.23 : x
  2. Step 2: Convert to fraction form
    72,709.21/109,063.85 = 22,793.23/x
  3. Step 3: Cross multiply
    72,709.21x = 109,063.85 × 22,793.23
  4. Step 4: Simplify right side
    72,709.21x = 2,485,917,417.74
  5. Step 5: Solve for x
    x = 2,485,917,417.74/72,709.21
  6. Step 6: Final answer
    x = 34,189.86

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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.