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Finding the Fourth Proportional to 149,775, 206,689.68 and 82,707

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Solution

The fourth proportional to 149,775, 206,689.68 and 82,707 is: 114,135.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,775 : 206,689.68 = 82,707 : x
  2. Step 2: Convert to fraction form
    149,775/206,689.68 = 82,707/x
  3. Step 3: Cross multiply
    149,775x = 206,689.68 × 82,707
  4. Step 4: Simplify right side
    149,775x = 17,094,683,363.76
  5. Step 5: Solve for x
    x = 17,094,683,363.76/149,775
  6. Step 6: Final answer
    x = 114,135.76

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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.