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Finding the Fourth Proportional to 149,298, 206,031.24 and 82,230

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Solution

The fourth proportional to 149,298, 206,031.24 and 82,230 is: 113,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,298 : 206,031.24 = 82,230 : x
  2. Step 2: Convert to fraction form
    149,298/206,031.24 = 82,230/x
  3. Step 3: Cross multiply
    149,298x = 206,031.24 × 82,230
  4. Step 4: Simplify right side
    149,298x = 16,941,948,865.20
  5. Step 5: Solve for x
    x = 16,941,948,865.20/149,298
  6. Step 6: Final answer
    x = 113,477.40

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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.