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Finding the Fourth Proportional to 203,413.82, 305,141.23 and 53,664.46

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Solution

The fourth proportional to 203,413.82, 305,141.23 and 53,664.46 is: 80,502.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,413.82 : 305,141.23 = 53,664.46 : x
  2. Step 2: Convert to fraction form
    203,413.82/305,141.23 = 53,664.46/x
  3. Step 3: Cross multiply
    203,413.82x = 305,141.23 × 53,664.46
  4. Step 4: Simplify right side
    203,413.82x = 16,375,239,331.69
  5. Step 5: Solve for x
    x = 16,375,239,331.69/203,413.82
  6. Step 6: Final answer
    x = 80,502.10

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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.