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Finding the Fourth Proportional to 100,738.92, 139,024.41 and 58,289.24

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Solution

The fourth proportional to 100,738.92, 139,024.41 and 58,289.24 is: 80,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,738.92 : 139,024.41 = 58,289.24 : x
  2. Step 2: Convert to fraction form
    100,738.92/139,024.41 = 58,289.24/x
  3. Step 3: Cross multiply
    100,738.92x = 139,024.41 × 58,289.24
  4. Step 4: Simplify right side
    100,738.92x = 8,103,627,200.35
  5. Step 5: Solve for x
    x = 8,103,627,200.35/100,738.92
  6. Step 6: Final answer
    x = 80,441.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.