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Finding the Fourth Proportional to 71,866.59, 107,820.92 and 21,266.95

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Solution

The fourth proportional to 71,866.59, 107,820.92 and 21,266.95 is: 31,906.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,866.59 : 107,820.92 = 21,266.95 : x
  2. Step 2: Convert to fraction form
    71,866.59/107,820.92 = 21,266.95/x
  3. Step 3: Cross multiply
    71,866.59x = 107,820.92 × 21,266.95
  4. Step 4: Simplify right side
    71,866.59x = 2,293,022,114.59
  5. Step 5: Solve for x
    x = 2,293,022,114.59/71,866.59
  6. Step 6: Final answer
    x = 31,906.65

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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.