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Finding the Fourth Proportional to 138,998.29, 208,418.44 and 54,712.77

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Solution

The fourth proportional to 138,998.29, 208,418.44 and 54,712.77 is: 82,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,998.29 : 208,418.44 = 54,712.77 : x
  2. Step 2: Convert to fraction form
    138,998.29/208,418.44 = 54,712.77/x
  3. Step 3: Cross multiply
    138,998.29x = 208,418.44 × 54,712.77
  4. Step 4: Simplify right side
    138,998.29x = 11,403,150,171.48
  5. Step 5: Solve for x
    x = 11,403,150,171.48/138,998.29
  6. Step 6: Final answer
    x = 82,038.06

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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.