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Finding the Fourth Proportional to 150,203.20, 225,304.80 and 140,987.20

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Solution

The fourth proportional to 150,203.20, 225,304.80 and 140,987.20 is: 211,480.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,203.20 : 225,304.80 = 140,987.20 : x
  2. Step 2: Convert to fraction form
    150,203.20/225,304.80 = 140,987.20/x
  3. Step 3: Cross multiply
    150,203.20x = 225,304.80 × 140,987.20
  4. Step 4: Simplify right side
    150,203.20x = 31,765,092,898.56
  5. Step 5: Solve for x
    x = 31,765,092,898.56/150,203.20
  6. Step 6: Final answer
    x = 211,480.80

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1.5x scale

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.