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Finding the Fourth Proportional to 52,108, 78,164.16 and 15,172

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Solution

The fourth proportional to 52,108, 78,164.16 and 15,172 is: 22,758.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,108 : 78,164.16 = 15,172 : x
  2. Step 2: Convert to fraction form
    52,108/78,164.16 = 15,172/x
  3. Step 3: Cross multiply
    52,108x = 78,164.16 × 15,172
  4. Step 4: Simplify right side
    52,108x = 1,185,906,635.52
  5. Step 5: Solve for x
    x = 1,185,906,635.52/52,108
  6. Step 6: Final answer
    x = 22,758.63

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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.