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Finding the Fourth Proportional to 100,279.76, 150,380.76 and 53,507.12

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Solution

The fourth proportional to 100,279.76, 150,380.76 and 53,507.12 is: 80,239.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,279.76 : 150,380.76 = 53,507.12 : x
  2. Step 2: Convert to fraction form
    100,279.76/150,380.76 = 53,507.12/x
  3. Step 3: Cross multiply
    100,279.76x = 150,380.76 × 53,507.12
  4. Step 4: Simplify right side
    100,279.76x = 8,046,441,371.01
  5. Step 5: Solve for x
    x = 8,046,441,371.01/100,279.76
  6. Step 6: Final answer
    x = 80,239.93

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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.