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Finding the Fourth Proportional to 126,413.64, 189,620.37 and 37,664.87

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Solution

The fourth proportional to 126,413.64, 189,620.37 and 37,664.87 is: 56,497.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,413.64 : 189,620.37 = 37,664.87 : x
  2. Step 2: Convert to fraction form
    126,413.64/189,620.37 = 37,664.87/x
  3. Step 3: Cross multiply
    126,413.64x = 189,620.37 × 37,664.87
  4. Step 4: Simplify right side
    126,413.64x = 7,142,025,637.30
  5. Step 5: Solve for x
    x = 7,142,025,637.30/126,413.64
  6. Step 6: Final answer
    x = 56,497.27

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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.