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Finding the Fourth Proportional to 134,761.70, 202,114.20 and 68,139.20

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Solution

The fourth proportional to 134,761.70, 202,114.20 and 68,139.20 is: 102,194.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,761.70 : 202,114.20 = 68,139.20 : x
  2. Step 2: Convert to fraction form
    134,761.70/202,114.20 = 68,139.20/x
  3. Step 3: Cross multiply
    134,761.70x = 202,114.20 × 68,139.20
  4. Step 4: Simplify right side
    134,761.70x = 13,771,899,896.64
  5. Step 5: Solve for x
    x = 13,771,899,896.64/134,761.70
  6. Step 6: Final answer
    x = 102,194.47

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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.