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Finding the Fourth Proportional to 150,744.34, 225,820.88 and 87,431.47

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Solution

The fourth proportional to 150,744.34, 225,820.88 and 87,431.47 is: 130,975.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,744.34 : 225,820.88 = 87,431.47 : x
  2. Step 2: Convert to fraction form
    150,744.34/225,820.88 = 87,431.47/x
  3. Step 3: Cross multiply
    150,744.34x = 225,820.88 × 87,431.47
  4. Step 4: Simplify right side
    150,744.34x = 19,743,850,821.25
  5. Step 5: Solve for x
    x = 19,743,850,821.25/150,744.34
  6. Step 6: Final answer
    x = 130,975.73

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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.