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Finding the Fourth Proportional to 71,159.82, 106,745.73 and 21,236.70

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Solution

The fourth proportional to 71,159.82, 106,745.73 and 21,236.70 is: 31,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.82 : 106,745.73 = 21,236.70 : x
  2. Step 2: Convert to fraction form
    71,159.82/106,745.73 = 21,236.70/x
  3. Step 3: Cross multiply
    71,159.82x = 106,745.73 × 21,236.70
  4. Step 4: Simplify right side
    71,159.82x = 2,266,927,044.29
  5. Step 5: Solve for x
    x = 2,266,927,044.29/71,159.82
  6. Step 6: Final answer
    x = 31,856.84

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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.