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Finding the Fourth Proportional to 52,072, 78,105.12 and 14,634.64

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Solution

The fourth proportional to 52,072, 78,105.12 and 14,634.64 is: 21,951.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072 : 78,105.12 = 14,634.64 : x
  2. Step 2: Convert to fraction form
    52,072/78,105.12 = 14,634.64/x
  3. Step 3: Cross multiply
    52,072x = 78,105.12 × 14,634.64
  4. Step 4: Simplify right side
    52,072x = 1,143,040,313.36
  5. Step 5: Solve for x
    x = 1,143,040,313.36/52,072
  6. Step 6: Final answer
    x = 21,951.15

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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.