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Finding the Fourth Proportional to 149,536.31, 206,360.12 and 82,468.31

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Solution

The fourth proportional to 149,536.31, 206,360.12 and 82,468.31 is: 113,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,536.31 : 206,360.12 = 82,468.31 : x
  2. Step 2: Convert to fraction form
    149,536.31/206,360.12 = 82,468.31/x
  3. Step 3: Cross multiply
    149,536.31x = 206,360.12 × 82,468.31
  4. Step 4: Simplify right side
    149,536.31x = 17,018,170,451.36
  5. Step 5: Solve for x
    x = 17,018,170,451.36/149,536.31
  6. Step 6: Final answer
    x = 113,806.27

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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.