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Finding the Fourth Proportional to 149,658.48, 206,528.28 and 82,590

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Solution

The fourth proportional to 149,658.48, 206,528.28 and 82,590 is: 113,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.48 : 206,528.28 = 82,590 : x
  2. Step 2: Convert to fraction form
    149,658.48/206,528.28 = 82,590/x
  3. Step 3: Cross multiply
    149,658.48x = 206,528.28 × 82,590
  4. Step 4: Simplify right side
    149,658.48x = 17,057,170,645.20
  5. Step 5: Solve for x
    x = 17,057,170,645.20/149,658.48
  6. Step 6: Final answer
    x = 113,973.97

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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.