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Finding the Fourth Proportional to 150,012.78, 225,081.30 and 65,729.40

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Solution

The fourth proportional to 150,012.78, 225,081.30 and 65,729.40 is: 98,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,012.78 : 225,081.30 = 65,729.40 : x
  2. Step 2: Convert to fraction form
    150,012.78/225,081.30 = 65,729.40/x
  3. Step 3: Cross multiply
    150,012.78x = 225,081.30 × 65,729.40
  4. Step 4: Simplify right side
    150,012.78x = 14,794,458,800.22
  5. Step 5: Solve for x
    x = 14,794,458,800.22/150,012.78
  6. Step 6: Final answer
    x = 98,621.32

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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.