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Finding the Fourth Proportional to 71,155.70, 106,738.96 and 21,231.90

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Solution

The fourth proportional to 71,155.70, 106,738.96 and 21,231.90 is: 31,849.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,155.70 : 106,738.96 = 21,231.90 : x
  2. Step 2: Convert to fraction form
    71,155.70/106,738.96 = 21,231.90/x
  3. Step 3: Cross multiply
    71,155.70x = 106,738.96 × 21,231.90
  4. Step 4: Simplify right side
    71,155.70x = 2,266,270,924.82
  5. Step 5: Solve for x
    x = 2,266,270,924.82/71,155.70
  6. Step 6: Final answer
    x = 31,849.46

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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.