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Finding the Fourth Proportional to 242,758, 364,137 and 76,546

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Solution

The fourth proportional to 242,758, 364,137 and 76,546 is: 114,819

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,758 : 364,137 = 76,546 : x
  2. Step 2: Convert to fraction form
    242,758/364,137 = 76,546/x
  3. Step 3: Cross multiply
    242,758x = 364,137 × 76,546
  4. Step 4: Simplify right side
    242,758x = 27,873,230,802
  5. Step 5: Solve for x
    x = 27,873,230,802/242,758
  6. Step 6: Final answer
    x = 114,819

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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.