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Finding the Fourth Proportional to 149,717, 206,537.64 and 101,335.70

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Solution

The fourth proportional to 149,717, 206,537.64 and 101,335.70 is: 139,794.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717 : 206,537.64 = 101,335.70 : x
  2. Step 2: Convert to fraction form
    149,717/206,537.64 = 101,335.70/x
  3. Step 3: Cross multiply
    149,717x = 206,537.64 × 101,335.70
  4. Step 4: Simplify right side
    149,717x = 20,929,636,325.75
  5. Step 5: Solve for x
    x = 20,929,636,325.75/149,717
  6. Step 6: Final answer
    x = 139,794.65

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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.