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Finding the Fourth Proportional to 67,586.52, 101,385.04 and 20,198

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Solution

The fourth proportional to 67,586.52, 101,385.04 and 20,198 is: 30,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,586.52 : 101,385.04 = 20,198 : x
  2. Step 2: Convert to fraction form
    67,586.52/101,385.04 = 20,198/x
  3. Step 3: Cross multiply
    67,586.52x = 101,385.04 × 20,198
  4. Step 4: Simplify right side
    67,586.52x = 2,047,775,037.92
  5. Step 5: Solve for x
    x = 2,047,775,037.92/67,586.52
  6. Step 6: Final answer
    x = 30,298.57

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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.