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Finding the Fourth Proportional to 163,413.20, 225,552.84 and 99,794

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Solution

The fourth proportional to 163,413.20, 225,552.84 and 99,794 is: 137,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,413.20 : 225,552.84 = 99,794 : x
  2. Step 2: Convert to fraction form
    163,413.20/225,552.84 = 99,794/x
  3. Step 3: Cross multiply
    163,413.20x = 225,552.84 × 99,794
  4. Step 4: Simplify right side
    163,413.20x = 22,508,820,114.96
  5. Step 5: Solve for x
    x = 22,508,820,114.96/163,413.20
  6. Step 6: Final answer
    x = 137,741.75

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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.