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Finding the Fourth Proportional to 136,853.76, 188,872 and 83,144.16

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Solution

The fourth proportional to 136,853.76, 188,872 and 83,144.16 is: 114,747.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,853.76 : 188,872 = 83,144.16 : x
  2. Step 2: Convert to fraction form
    136,853.76/188,872 = 83,144.16/x
  3. Step 3: Cross multiply
    136,853.76x = 188,872 × 83,144.16
  4. Step 4: Simplify right side
    136,853.76x = 15,703,603,787.52
  5. Step 5: Solve for x
    x = 15,703,603,787.52/136,853.76
  6. Step 6: Final answer
    x = 114,747.33

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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.