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Finding the Fourth Proportional to 76,820, 115,230 and 18,452

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Solution

The fourth proportional to 76,820, 115,230 and 18,452 is: 27,678

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,820 : 115,230 = 18,452 : x
  2. Step 2: Convert to fraction form
    76,820/115,230 = 18,452/x
  3. Step 3: Cross multiply
    76,820x = 115,230 × 18,452
  4. Step 4: Simplify right side
    76,820x = 2,126,223,960
  5. Step 5: Solve for x
    x = 2,126,223,960/76,820
  6. Step 6: Final answer
    x = 27,678

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.