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Finding the Fourth Proportional to 149,699.48, 206,586.06 and 82,631.48

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Solution

The fourth proportional to 149,699.48, 206,586.06 and 82,631.48 is: 114,031.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,699.48 : 206,586.06 = 82,631.48 : x
  2. Step 2: Convert to fraction form
    149,699.48/206,586.06 = 82,631.48/x
  3. Step 3: Cross multiply
    149,699.48x = 206,586.06 × 82,631.48
  4. Step 4: Simplify right side
    149,699.48x = 17,070,511,885.17
  5. Step 5: Solve for x
    x = 17,070,511,885.17/149,699.48
  6. Step 6: Final answer
    x = 114,031.87

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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.