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Finding the Fourth Proportional to 119,963.76, 165,516.12 and 72,201.84

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Solution

The fourth proportional to 119,963.76, 165,516.12 and 72,201.84 is: 99,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,963.76 : 165,516.12 = 72,201.84 : x
  2. Step 2: Convert to fraction form
    119,963.76/165,516.12 = 72,201.84/x
  3. Step 3: Cross multiply
    119,963.76x = 165,516.12 × 72,201.84
  4. Step 4: Simplify right side
    119,963.76x = 11,950,568,413.66
  5. Step 5: Solve for x
    x = 11,950,568,413.66/119,963.76
  6. Step 6: Final answer
    x = 99,618.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.