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Finding the Fourth Proportional to 100,650.52, 150,980.37 and 71,200

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Solution

The fourth proportional to 100,650.52, 150,980.37 and 71,200 is: 106,803.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,650.52 : 150,980.37 = 71,200 : x
  2. Step 2: Convert to fraction form
    100,650.52/150,980.37 = 71,200/x
  3. Step 3: Cross multiply
    100,650.52x = 150,980.37 × 71,200
  4. Step 4: Simplify right side
    100,650.52x = 10,749,802,344
  5. Step 5: Solve for x
    x = 10,749,802,344/100,650.52
  6. Step 6: Final answer
    x = 106,803.25

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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.