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Finding the Fourth Proportional to 100,451.22, 150,726 and 40,477.20

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Solution

The fourth proportional to 100,451.22, 150,726 and 40,477.20 is: 60,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,451.22 : 150,726 = 40,477.20 : x
  2. Step 2: Convert to fraction form
    100,451.22/150,726 = 40,477.20/x
  3. Step 3: Cross multiply
    100,451.22x = 150,726 × 40,477.20
  4. Step 4: Simplify right side
    100,451.22x = 6,100,966,447.20
  5. Step 5: Solve for x
    x = 6,100,966,447.20/100,451.22
  6. Step 6: Final answer
    x = 60,735.61

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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.