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Finding the Fourth Proportional to 100,245.76, 150,402.20 and 32,780.90

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Solution

The fourth proportional to 100,245.76, 150,402.20 and 32,780.90 is: 49,182.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,245.76 : 150,402.20 = 32,780.90 : x
  2. Step 2: Convert to fraction form
    100,245.76/150,402.20 = 32,780.90/x
  3. Step 3: Cross multiply
    100,245.76x = 150,402.20 × 32,780.90
  4. Step 4: Simplify right side
    100,245.76x = 4,930,319,477.98
  5. Step 5: Solve for x
    x = 4,930,319,477.98/100,245.76
  6. Step 6: Final answer
    x = 49,182.33

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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.