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Finding the Fourth Proportional to 75,413.91, 112,990.21 and 45,769.64

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Solution

The fourth proportional to 75,413.91, 112,990.21 and 45,769.64 is: 68,575.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,413.91 : 112,990.21 = 45,769.64 : x
  2. Step 2: Convert to fraction form
    75,413.91/112,990.21 = 45,769.64/x
  3. Step 3: Cross multiply
    75,413.91x = 112,990.21 × 45,769.64
  4. Step 4: Simplify right side
    75,413.91x = 5,171,520,555.85
  5. Step 5: Solve for x
    x = 5,171,520,555.85/75,413.91
  6. Step 6: Final answer
    x = 68,575.15

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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.