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Finding the Fourth Proportional to 52,304, 78,456 and 13,392

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Solution

The fourth proportional to 52,304, 78,456 and 13,392 is: 20,088

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,304 : 78,456 = 13,392 : x
  2. Step 2: Convert to fraction form
    52,304/78,456 = 13,392/x
  3. Step 3: Cross multiply
    52,304x = 78,456 × 13,392
  4. Step 4: Simplify right side
    52,304x = 1,050,682,752
  5. Step 5: Solve for x
    x = 1,050,682,752/52,304
  6. Step 6: Final answer
    x = 20,088

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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.