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Finding the Fourth Proportional to 138,685.34, 208,028.61 and 43,916.01

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Solution

The fourth proportional to 138,685.34, 208,028.61 and 43,916.01 is: 65,874.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,685.34 : 208,028.61 = 43,916.01 : x
  2. Step 2: Convert to fraction form
    138,685.34/208,028.61 = 43,916.01/x
  3. Step 3: Cross multiply
    138,685.34x = 208,028.61 × 43,916.01
  4. Step 4: Simplify right side
    138,685.34x = 9,135,786,517.05
  5. Step 5: Solve for x
    x = 9,135,786,517.05/138,685.34
  6. Step 6: Final answer
    x = 65,874.21

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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.