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Finding the Fourth Proportional to 57,763, 79,713.18 and 31,267

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Solution

The fourth proportional to 57,763, 79,713.18 and 31,267 is: 43,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,763 : 79,713.18 = 31,267 : x
  2. Step 2: Convert to fraction form
    57,763/79,713.18 = 31,267/x
  3. Step 3: Cross multiply
    57,763x = 79,713.18 × 31,267
  4. Step 4: Simplify right side
    57,763x = 2,492,391,999.06
  5. Step 5: Solve for x
    x = 2,492,391,999.06/57,763
  6. Step 6: Final answer
    x = 43,148.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.