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Finding the Fourth Proportional to 52,296, 78,444 and 15,360

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Solution

The fourth proportional to 52,296, 78,444 and 15,360 is: 23,040

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,296 : 78,444 = 15,360 : x
  2. Step 2: Convert to fraction form
    52,296/78,444 = 15,360/x
  3. Step 3: Cross multiply
    52,296x = 78,444 × 15,360
  4. Step 4: Simplify right side
    52,296x = 1,204,899,840
  5. Step 5: Solve for x
    x = 1,204,899,840/52,296
  6. Step 6: Final answer
    x = 23,040

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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.