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Finding the Fourth Proportional to 135,542.70, 203,022.45 and 112,214.70

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Solution

The fourth proportional to 135,542.70, 203,022.45 and 112,214.70 is: 168,080.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,542.70 : 203,022.45 = 112,214.70 : x
  2. Step 2: Convert to fraction form
    135,542.70/203,022.45 = 112,214.70/x
  3. Step 3: Cross multiply
    135,542.70x = 203,022.45 × 112,214.70
  4. Step 4: Simplify right side
    135,542.70x = 22,782,103,320.02
  5. Step 5: Solve for x
    x = 22,782,103,320.02/135,542.70
  6. Step 6: Final answer
    x = 168,080.64

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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.