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Finding the Fourth Proportional to 86,427, 129,640.50 and 20,763

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Solution

The fourth proportional to 86,427, 129,640.50 and 20,763 is: 31,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,427 : 129,640.50 = 20,763 : x
  2. Step 2: Convert to fraction form
    86,427/129,640.50 = 20,763/x
  3. Step 3: Cross multiply
    86,427x = 129,640.50 × 20,763
  4. Step 4: Simplify right side
    86,427x = 2,691,725,701.50
  5. Step 5: Solve for x
    x = 2,691,725,701.50/86,427
  6. Step 6: Final answer
    x = 31,144.50

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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.