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Finding the Fourth Proportional to 97,963.76, 146,829 and 68,220.56

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Solution

The fourth proportional to 97,963.76, 146,829 and 68,220.56 is: 102,249.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,963.76 : 146,829 = 68,220.56 : x
  2. Step 2: Convert to fraction form
    97,963.76/146,829 = 68,220.56/x
  3. Step 3: Cross multiply
    97,963.76x = 146,829 × 68,220.56
  4. Step 4: Simplify right side
    97,963.76x = 10,016,756,604.24
  5. Step 5: Solve for x
    x = 10,016,756,604.24/97,963.76
  6. Step 6: Final answer
    x = 102,249.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.