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Finding the Fourth Proportional to 138,733.80, 208,100.70 and 115,405.80

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Solution

The fourth proportional to 138,733.80, 208,100.70 and 115,405.80 is: 173,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,733.80 : 208,100.70 = 115,405.80 : x
  2. Step 2: Convert to fraction form
    138,733.80/208,100.70 = 115,405.80/x
  3. Step 3: Cross multiply
    138,733.80x = 208,100.70 × 115,405.80
  4. Step 4: Simplify right side
    138,733.80x = 24,016,027,764.06
  5. Step 5: Solve for x
    x = 24,016,027,764.06/138,733.80
  6. Step 6: Final answer
    x = 173,108.70

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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.