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Finding the Fourth Proportional to 230,413.05, 345,656.03 and 80,649.72

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Solution

The fourth proportional to 230,413.05, 345,656.03 and 80,649.72 is: 120,987.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,413.05 : 345,656.03 = 80,649.72 : x
  2. Step 2: Convert to fraction form
    230,413.05/345,656.03 = 80,649.72/x
  3. Step 3: Cross multiply
    230,413.05x = 345,656.03 × 80,649.72
  4. Step 4: Simplify right side
    230,413.05x = 27,877,061,632.56
  5. Step 5: Solve for x
    x = 27,877,061,632.56/230,413.05
  6. Step 6: Final answer
    x = 120,987.34

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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.