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Finding the Fourth Proportional to 52,197, 78,309 and 17,136.96

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Solution

The fourth proportional to 52,197, 78,309 and 17,136.96 is: 25,709.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,197 : 78,309 = 17,136.96 : x
  2. Step 2: Convert to fraction form
    52,197/78,309 = 17,136.96/x
  3. Step 3: Cross multiply
    52,197x = 78,309 × 17,136.96
  4. Step 4: Simplify right side
    52,197x = 1,341,978,200.64
  5. Step 5: Solve for x
    x = 1,341,978,200.64/52,197
  6. Step 6: Final answer
    x = 25,709.87

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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.