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Finding the Fourth Proportional to 108,198.46, 149,319.56 and 65,191.46

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Solution

The fourth proportional to 108,198.46, 149,319.56 and 65,191.46 is: 89,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,198.46 : 149,319.56 = 65,191.46 : x
  2. Step 2: Convert to fraction form
    108,198.46/149,319.56 = 65,191.46/x
  3. Step 3: Cross multiply
    108,198.46x = 149,319.56 × 65,191.46
  4. Step 4: Simplify right side
    108,198.46x = 9,734,360,659.24
  5. Step 5: Solve for x
    x = 9,734,360,659.24/108,198.46
  6. Step 6: Final answer
    x = 89,967.64

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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.