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Finding the Fourth Proportional to 242,760, 364,140 and 76,548

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Solution

The fourth proportional to 242,760, 364,140 and 76,548 is: 114,822

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,760 : 364,140 = 76,548 : x
  2. Step 2: Convert to fraction form
    242,760/364,140 = 76,548/x
  3. Step 3: Cross multiply
    242,760x = 364,140 × 76,548
  4. Step 4: Simplify right side
    242,760x = 27,874,188,720
  5. Step 5: Solve for x
    x = 27,874,188,720/242,760
  6. Step 6: Final answer
    x = 114,822

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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.