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Finding the Fourth Proportional to 78,446.85, 117,767.78 and 78,087.21

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Solution

The fourth proportional to 78,446.85, 117,767.78 and 78,087.21 is: 117,227.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,446.85 : 117,767.78 = 78,087.21 : x
  2. Step 2: Convert to fraction form
    78,446.85/117,767.78 = 78,087.21/x
  3. Step 3: Cross multiply
    78,446.85x = 117,767.78 × 78,087.21
  4. Step 4: Simplify right side
    78,446.85x = 9,196,156,977.66
  5. Step 5: Solve for x
    x = 9,196,156,977.66/78,446.85
  6. Step 6: Final answer
    x = 117,227.87

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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.