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Finding the Fourth Proportional to 134,764.70, 202,118.70 and 68,142.20

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Solution

The fourth proportional to 134,764.70, 202,118.70 and 68,142.20 is: 102,198.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,764.70 : 202,118.70 = 68,142.20 : x
  2. Step 2: Convert to fraction form
    134,764.70/202,118.70 = 68,142.20/x
  3. Step 3: Cross multiply
    134,764.70x = 202,118.70 × 68,142.20
  4. Step 4: Simplify right side
    134,764.70x = 13,772,812,879.14
  5. Step 5: Solve for x
    x = 13,772,812,879.14/134,764.70
  6. Step 6: Final answer
    x = 102,198.97

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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.