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Finding the Fourth Proportional to 220,866.30, 331,330.68 and 71,071.74

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Solution

The fourth proportional to 220,866.30, 331,330.68 and 71,071.74 is: 106,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866.30 : 331,330.68 = 71,071.74 : x
  2. Step 2: Convert to fraction form
    220,866.30/331,330.68 = 71,071.74/x
  3. Step 3: Cross multiply
    220,866.30x = 331,330.68 × 71,071.74
  4. Step 4: Simplify right side
    220,866.30x = 23,548,247,942.98
  5. Step 5: Solve for x
    x = 23,548,247,942.98/220,866.30
  6. Step 6: Final answer
    x = 106,617.66

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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.