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Finding the Fourth Proportional to 213,761.92, 320,639.64 and 73,521.76

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Solution

The fourth proportional to 213,761.92, 320,639.64 and 73,521.76 is: 110,281.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,761.92 : 320,639.64 = 73,521.76 : x
  2. Step 2: Convert to fraction form
    213,761.92/320,639.64 = 73,521.76/x
  3. Step 3: Cross multiply
    213,761.92x = 320,639.64 × 73,521.76
  4. Step 4: Simplify right side
    213,761.92x = 23,573,990,658.57
  5. Step 5: Solve for x
    x = 23,573,990,658.57/213,761.92
  6. Step 6: Final answer
    x = 110,281.53

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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.