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Finding the Fourth Proportional to 71,102.97, 106,672 and 21,182.87

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Solution

The fourth proportional to 71,102.97, 106,672 and 21,182.87 is: 31,779.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,102.97 : 106,672 = 21,182.87 : x
  2. Step 2: Convert to fraction form
    71,102.97/106,672 = 21,182.87/x
  3. Step 3: Cross multiply
    71,102.97x = 106,672 × 21,182.87
  4. Step 4: Simplify right side
    71,102.97x = 2,259,619,108.64
  5. Step 5: Solve for x
    x = 2,259,619,108.64/71,102.97
  6. Step 6: Final answer
    x = 31,779.53

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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.