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Finding the Fourth Proportional to 100,066.53, 150,099.78 and 47,447.31

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Solution

The fourth proportional to 100,066.53, 150,099.78 and 47,447.31 is: 71,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,066.53 : 150,099.78 = 47,447.31 : x
  2. Step 2: Convert to fraction form
    100,066.53/150,099.78 = 47,447.31/x
  3. Step 3: Cross multiply
    100,066.53x = 150,099.78 × 47,447.31
  4. Step 4: Simplify right side
    100,066.53x = 7,121,830,792.59
  5. Step 5: Solve for x
    x = 7,121,830,792.59/100,066.53
  6. Step 6: Final answer
    x = 71,170.96

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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.