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Finding the Fourth Proportional to 136,512.84, 188,391.42 and 78,379.32

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Solution

The fourth proportional to 136,512.84, 188,391.42 and 78,379.32 is: 108,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,512.84 : 188,391.42 = 78,379.32 : x
  2. Step 2: Convert to fraction form
    136,512.84/188,391.42 = 78,379.32/x
  3. Step 3: Cross multiply
    136,512.84x = 188,391.42 × 78,379.32
  4. Step 4: Simplify right side
    136,512.84x = 14,765,991,393.43
  5. Step 5: Solve for x
    x = 14,765,991,393.43/136,512.84
  6. Step 6: Final answer
    x = 108,165.59

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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.