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Finding the Fourth Proportional to 77,196, 115,794 and 18,828

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Solution

The fourth proportional to 77,196, 115,794 and 18,828 is: 28,242

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,196 : 115,794 = 18,828 : x
  2. Step 2: Convert to fraction form
    77,196/115,794 = 18,828/x
  3. Step 3: Cross multiply
    77,196x = 115,794 × 18,828
  4. Step 4: Simplify right side
    77,196x = 2,180,169,432
  5. Step 5: Solve for x
    x = 2,180,169,432/77,196
  6. Step 6: Final answer
    x = 28,242

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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.