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Finding the Fourth Proportional to 78,195, 117,314.10 and 22,791

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Solution

The fourth proportional to 78,195, 117,314.10 and 22,791 is: 34,192.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195 : 117,314.10 = 22,791 : x
  2. Step 2: Convert to fraction form
    78,195/117,314.10 = 22,791/x
  3. Step 3: Cross multiply
    78,195x = 117,314.10 × 22,791
  4. Step 4: Simplify right side
    78,195x = 2,673,705,653.10
  5. Step 5: Solve for x
    x = 2,673,705,653.10/78,195
  6. Step 6: Final answer
    x = 34,192.80

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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.