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Finding the Fourth Proportional to 138,920.94, 208,410.21 and 55,821.42

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Solution

The fourth proportional to 138,920.94, 208,410.21 and 55,821.42 is: 83,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920.94 : 208,410.21 = 55,821.42 : x
  2. Step 2: Convert to fraction form
    138,920.94/208,410.21 = 55,821.42/x
  3. Step 3: Cross multiply
    138,920.94x = 208,410.21 × 55,821.42
  4. Step 4: Simplify right side
    138,920.94x = 11,633,753,864.70
  5. Step 5: Solve for x
    x = 11,633,753,864.70/138,920.94
  6. Step 6: Final answer
    x = 83,743.70

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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.