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Finding the Fourth Proportional to 149,395.74, 206,156.79 and 82,327.74

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Solution

The fourth proportional to 149,395.74, 206,156.79 and 82,327.74 is: 113,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,395.74 : 206,156.79 = 82,327.74 : x
  2. Step 2: Convert to fraction form
    149,395.74/206,156.79 = 82,327.74/x
  3. Step 3: Cross multiply
    149,395.74x = 206,156.79 × 82,327.74
  4. Step 4: Simplify right side
    149,395.74x = 16,972,422,606.35
  5. Step 5: Solve for x
    x = 16,972,422,606.35/149,395.74
  6. Step 6: Final answer
    x = 113,607.14

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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.