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Finding the Fourth Proportional to 137,838.83, 206,839.49 and 57,890.83

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Solution

The fourth proportional to 137,838.83, 206,839.49 and 57,890.83 is: 86,870.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,838.83 : 206,839.49 = 57,890.83 : x
  2. Step 2: Convert to fraction form
    137,838.83/206,839.49 = 57,890.83/x
  3. Step 3: Cross multiply
    137,838.83x = 206,839.49 × 57,890.83
  4. Step 4: Simplify right side
    137,838.83x = 11,974,109,752.88
  5. Step 5: Solve for x
    x = 11,974,109,752.88/137,838.83
  6. Step 6: Final answer
    x = 86,870.37

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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.