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Finding the Fourth Proportional to 90,195.47, 135,339.90 and 65,439.85

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Solution

The fourth proportional to 90,195.47, 135,339.90 and 65,439.85 is: 98,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,195.47 : 135,339.90 = 65,439.85 : x
  2. Step 2: Convert to fraction form
    90,195.47/135,339.90 = 65,439.85/x
  3. Step 3: Cross multiply
    90,195.47x = 135,339.90 × 65,439.85
  4. Step 4: Simplify right side
    90,195.47x = 8,856,621,751.12
  5. Step 5: Solve for x
    x = 8,856,621,751.12/90,195.47
  6. Step 6: Final answer
    x = 98,193.64

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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.