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Finding the Fourth Proportional to 150,422.80, 225,634.20 and 141,821.20

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Solution

The fourth proportional to 150,422.80, 225,634.20 and 141,821.20 is: 212,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,422.80 : 225,634.20 = 141,821.20 : x
  2. Step 2: Convert to fraction form
    150,422.80/225,634.20 = 141,821.20/x
  3. Step 3: Cross multiply
    150,422.80x = 225,634.20 × 141,821.20
  4. Step 4: Simplify right side
    150,422.80x = 31,999,713,005.04
  5. Step 5: Solve for x
    x = 31,999,713,005.04/150,422.80
  6. Step 6: Final answer
    x = 212,731.80

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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.