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Finding the Fourth Proportional to 172,974.35, 259,492.91 and 78,249.17

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Solution

The fourth proportional to 172,974.35, 259,492.91 and 78,249.17 is: 117,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,974.35 : 259,492.91 = 78,249.17 : x
  2. Step 2: Convert to fraction form
    172,974.35/259,492.91 = 78,249.17/x
  3. Step 3: Cross multiply
    172,974.35x = 259,492.91 × 78,249.17
  4. Step 4: Simplify right side
    172,974.35x = 20,305,105,085.87
  5. Step 5: Solve for x
    x = 20,305,105,085.87/172,974.35
  6. Step 6: Final answer
    x = 117,387.95

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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.