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Finding the Fourth Proportional to 145,422.44, 200,601 and 87,264.12

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Solution

The fourth proportional to 145,422.44, 200,601 and 87,264.12 is: 120,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,422.44 : 200,601 = 87,264.12 : x
  2. Step 2: Convert to fraction form
    145,422.44/200,601 = 87,264.12/x
  3. Step 3: Cross multiply
    145,422.44x = 200,601 × 87,264.12
  4. Step 4: Simplify right side
    145,422.44x = 17,505,269,736.12
  5. Step 5: Solve for x
    x = 17,505,269,736.12/145,422.44
  6. Step 6: Final answer
    x = 120,375.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.