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Finding the Fourth Proportional to 150,543.88, 225,787 and 75,643.28

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Solution

The fourth proportional to 150,543.88, 225,787 and 75,643.28 is: 113,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,543.88 : 225,787 = 75,643.28 : x
  2. Step 2: Convert to fraction form
    150,543.88/225,787 = 75,643.28/x
  3. Step 3: Cross multiply
    150,543.88x = 225,787 × 75,643.28
  4. Step 4: Simplify right side
    150,543.88x = 17,079,269,261.36
  5. Step 5: Solve for x
    x = 17,079,269,261.36/150,543.88
  6. Step 6: Final answer
    x = 113,450.44

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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.