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Finding the Fourth Proportional to 100,649.52, 150,978.87 and 71,199

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Solution

The fourth proportional to 100,649.52, 150,978.87 and 71,199 is: 106,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,649.52 : 150,978.87 = 71,199 : x
  2. Step 2: Convert to fraction form
    100,649.52/150,978.87 = 71,199/x
  3. Step 3: Cross multiply
    100,649.52x = 150,978.87 × 71,199
  4. Step 4: Simplify right side
    100,649.52x = 10,749,544,565.13
  5. Step 5: Solve for x
    x = 10,749,544,565.13/100,649.52
  6. Step 6: Final answer
    x = 106,801.75

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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.