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Finding the Fourth Proportional to 136,305, 188,100.84 and 75,874.38

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Solution

The fourth proportional to 136,305, 188,100.84 and 75,874.38 is: 104,706.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,305 : 188,100.84 = 75,874.38 : x
  2. Step 2: Convert to fraction form
    136,305/188,100.84 = 75,874.38/x
  3. Step 3: Cross multiply
    136,305x = 188,100.84 × 75,874.38
  4. Step 4: Simplify right side
    136,305x = 14,272,034,612.48
  5. Step 5: Solve for x
    x = 14,272,034,612.48/136,305
  6. Step 6: Final answer
    x = 104,706.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.