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Finding the Fourth Proportional to 128,642.82, 177,540.24 and 74,197.14

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Solution

The fourth proportional to 128,642.82, 177,540.24 and 74,197.14 is: 102,399.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,642.82 : 177,540.24 = 74,197.14 : x
  2. Step 2: Convert to fraction form
    128,642.82/177,540.24 = 74,197.14/x
  3. Step 3: Cross multiply
    128,642.82x = 177,540.24 × 74,197.14
  4. Step 4: Simplify right side
    128,642.82x = 13,172,978,042.91
  5. Step 5: Solve for x
    x = 13,172,978,042.91/128,642.82
  6. Step 6: Final answer
    x = 102,399.64

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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.