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Finding the Fourth Proportional to 52,147.74, 78,174.81 and 18,859.98

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Solution

The fourth proportional to 52,147.74, 78,174.81 and 18,859.98 is: 28,273.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,147.74 : 78,174.81 = 18,859.98 : x
  2. Step 2: Convert to fraction form
    52,147.74/78,174.81 = 18,859.98/x
  3. Step 3: Cross multiply
    52,147.74x = 78,174.81 × 18,859.98
  4. Step 4: Simplify right side
    52,147.74x = 1,474,375,353.10
  5. Step 5: Solve for x
    x = 1,474,375,353.10/52,147.74
  6. Step 6: Final answer
    x = 28,273.04

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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.