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Finding the Fourth Proportional to 138,855.98, 208,143.72 and 54,675.22

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Solution

The fourth proportional to 138,855.98, 208,143.72 and 54,675.22 is: 81,957.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,855.98 : 208,143.72 = 54,675.22 : x
  2. Step 2: Convert to fraction form
    138,855.98/208,143.72 = 54,675.22/x
  3. Step 3: Cross multiply
    138,855.98x = 208,143.72 × 54,675.22
  4. Step 4: Simplify right side
    138,855.98x = 11,380,303,682.62
  5. Step 5: Solve for x
    x = 11,380,303,682.62/138,855.98
  6. Step 6: Final answer
    x = 81,957.61

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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.