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Finding the Fourth Proportional to 126,323.76, 189,485.64 and 37,578.54

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Solution

The fourth proportional to 126,323.76, 189,485.64 and 37,578.54 is: 56,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,323.76 : 189,485.64 = 37,578.54 : x
  2. Step 2: Convert to fraction form
    126,323.76/189,485.64 = 37,578.54/x
  3. Step 3: Cross multiply
    126,323.76x = 189,485.64 × 37,578.54
  4. Step 4: Simplify right side
    126,323.76x = 7,120,593,702.17
  5. Step 5: Solve for x
    x = 7,120,593,702.17/126,323.76
  6. Step 6: Final answer
    x = 56,367.81

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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.