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Finding the Fourth Proportional to 100,077, 150,115.56 and 47,457.84

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Solution

The fourth proportional to 100,077, 150,115.56 and 47,457.84 is: 71,186.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,077 : 150,115.56 = 47,457.84 : x
  2. Step 2: Convert to fraction form
    100,077/150,115.56 = 47,457.84/x
  3. Step 3: Cross multiply
    100,077x = 150,115.56 × 47,457.84
  4. Step 4: Simplify right side
    100,077x = 7,124,160,227.99
  5. Step 5: Solve for x
    x = 7,124,160,227.99/100,077
  6. Step 6: Final answer
    x = 71,186.79

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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.