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Finding the Fourth Proportional to 149,321, 206,062.98 and 82,253

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Solution

The fourth proportional to 149,321, 206,062.98 and 82,253 is: 113,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321 : 206,062.98 = 82,253 : x
  2. Step 2: Convert to fraction form
    149,321/206,062.98 = 82,253/x
  3. Step 3: Cross multiply
    149,321x = 206,062.98 × 82,253
  4. Step 4: Simplify right side
    149,321x = 16,949,298,293.94
  5. Step 5: Solve for x
    x = 16,949,298,293.94/149,321
  6. Step 6: Final answer
    x = 113,509.14

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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.