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Finding the Fourth Proportional to 140,912.82, 194,471.96 and 77,263.02

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Solution

The fourth proportional to 140,912.82, 194,471.96 and 77,263.02 is: 106,629.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,912.82 : 194,471.96 = 77,263.02 : x
  2. Step 2: Convert to fraction form
    140,912.82/194,471.96 = 77,263.02/x
  3. Step 3: Cross multiply
    140,912.82x = 194,471.96 × 77,263.02
  4. Step 4: Simplify right side
    140,912.82x = 15,025,490,548.60
  5. Step 5: Solve for x
    x = 15,025,490,548.60/140,912.82
  6. Step 6: Final answer
    x = 106,629.69

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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.