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Finding the Fourth Proportional to 52,040, 78,060 and 19,208

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Solution

The fourth proportional to 52,040, 78,060 and 19,208 is: 28,812

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,040 : 78,060 = 19,208 : x
  2. Step 2: Convert to fraction form
    52,040/78,060 = 19,208/x
  3. Step 3: Cross multiply
    52,040x = 78,060 × 19,208
  4. Step 4: Simplify right side
    52,040x = 1,499,376,480
  5. Step 5: Solve for x
    x = 1,499,376,480/52,040
  6. Step 6: Final answer
    x = 28,812

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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.