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Finding the Fourth Proportional to 78,647.90, 117,926.87 and 36,506.30

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Solution

The fourth proportional to 78,647.90, 117,926.87 and 36,506.30 is: 54,738.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,647.90 : 117,926.87 = 36,506.30 : x
  2. Step 2: Convert to fraction form
    78,647.90/117,926.87 = 36,506.30/x
  3. Step 3: Cross multiply
    78,647.90x = 117,926.87 × 36,506.30
  4. Step 4: Simplify right side
    78,647.90x = 4,305,072,922.12
  5. Step 5: Solve for x
    x = 4,305,072,922.12/78,647.90
  6. Step 6: Final answer
    x = 54,738.57

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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.