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Finding the Fourth Proportional to 100,398.50, 150,567.03 and 33,820.77

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Solution

The fourth proportional to 100,398.50, 150,567.03 and 33,820.77 is: 50,720.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,398.50 : 150,567.03 = 33,820.77 : x
  2. Step 2: Convert to fraction form
    100,398.50/150,567.03 = 33,820.77/x
  3. Step 3: Cross multiply
    100,398.50x = 150,567.03 × 33,820.77
  4. Step 4: Simplify right side
    100,398.50x = 5,092,292,891.21
  5. Step 5: Solve for x
    x = 5,092,292,891.21/100,398.50
  6. Step 6: Final answer
    x = 50,720.81

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1.5x scale

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.