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Finding the Fourth Proportional to 149,483.13, 206,286.72 and 82,415.13

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Solution

The fourth proportional to 149,483.13, 206,286.72 and 82,415.13 is: 113,732.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,483.13 : 206,286.72 = 82,415.13 : x
  2. Step 2: Convert to fraction form
    149,483.13/206,286.72 = 82,415.13/x
  3. Step 3: Cross multiply
    149,483.13x = 206,286.72 × 82,415.13
  4. Step 4: Simplify right side
    149,483.13x = 17,001,146,846.07
  5. Step 5: Solve for x
    x = 17,001,146,846.07/149,483.13
  6. Step 6: Final answer
    x = 113,732.88

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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.