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Finding the Fourth Proportional to 242,922, 364,383 and 76,710

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Solution

The fourth proportional to 242,922, 364,383 and 76,710 is: 115,065

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,922 : 364,383 = 76,710 : x
  2. Step 2: Convert to fraction form
    242,922/364,383 = 76,710/x
  3. Step 3: Cross multiply
    242,922x = 364,383 × 76,710
  4. Step 4: Simplify right side
    242,922x = 27,951,819,930
  5. Step 5: Solve for x
    x = 27,951,819,930/242,922
  6. Step 6: Final answer
    x = 115,065

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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.