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Finding the Fourth Proportional to 47,808.42, 71,680.28 and 26,763

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Solution

The fourth proportional to 47,808.42, 71,680.28 and 26,763 is: 40,126.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808.42 : 71,680.28 = 26,763 : x
  2. Step 2: Convert to fraction form
    47,808.42/71,680.28 = 26,763/x
  3. Step 3: Cross multiply
    47,808.42x = 71,680.28 × 26,763
  4. Step 4: Simplify right side
    47,808.42x = 1,918,379,333.64
  5. Step 5: Solve for x
    x = 1,918,379,333.64/47,808.42
  6. Step 6: Final answer
    x = 40,126.39

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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.