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Finding the Fourth Proportional to 71,867.59, 107,822.42 and 21,267.95

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Solution

The fourth proportional to 71,867.59, 107,822.42 and 21,267.95 is: 31,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,867.59 : 107,822.42 = 21,267.95 : x
  2. Step 2: Convert to fraction form
    71,867.59/107,822.42 = 21,267.95/x
  3. Step 3: Cross multiply
    71,867.59x = 107,822.42 × 21,267.95
  4. Step 4: Simplify right side
    71,867.59x = 2,293,161,837.44
  5. Step 5: Solve for x
    x = 2,293,161,837.44/71,867.59
  6. Step 6: Final answer
    x = 31,908.15

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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.