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Finding the Fourth Proportional to 138,749.76, 208,157.44 and 45,255.50

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Solution

The fourth proportional to 138,749.76, 208,157.44 and 45,255.50 is: 67,893.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,749.76 : 208,157.44 = 45,255.50 : x
  2. Step 2: Convert to fraction form
    138,749.76/208,157.44 = 45,255.50/x
  3. Step 3: Cross multiply
    138,749.76x = 208,157.44 × 45,255.50
  4. Step 4: Simplify right side
    138,749.76x = 9,420,269,025.92
  5. Step 5: Solve for x
    x = 9,420,269,025.92/138,749.76
  6. Step 6: Final answer
    x = 67,893.95

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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.