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Finding the Fourth Proportional to 138,712.89, 208,020.10 and 49,942.56

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Solution

The fourth proportional to 138,712.89, 208,020.10 and 49,942.56 is: 74,896.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,712.89 : 208,020.10 = 49,942.56 : x
  2. Step 2: Convert to fraction form
    138,712.89/208,020.10 = 49,942.56/x
  3. Step 3: Cross multiply
    138,712.89x = 208,020.10 × 49,942.56
  4. Step 4: Simplify right side
    138,712.89x = 10,389,056,325.46
  5. Step 5: Solve for x
    x = 10,389,056,325.46/138,712.89
  6. Step 6: Final answer
    x = 74,896.11

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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.