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Finding the Fourth Proportional to 100,912.36, 151,368.45 and 47,591.90

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Solution

The fourth proportional to 100,912.36, 151,368.45 and 47,591.90 is: 71,387.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,912.36 : 151,368.45 = 47,591.90 : x
  2. Step 2: Convert to fraction form
    100,912.36/151,368.45 = 47,591.90/x
  3. Step 3: Cross multiply
    100,912.36x = 151,368.45 × 47,591.90
  4. Step 4: Simplify right side
    100,912.36x = 7,203,912,135.56
  5. Step 5: Solve for x
    x = 7,203,912,135.56/100,912.36
  6. Step 6: Final answer
    x = 71,387.81

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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.