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Finding the Fourth Proportional to 114,996.42, 158,767.98 and 78,758.64

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Solution

The fourth proportional to 114,996.42, 158,767.98 and 78,758.64 is: 108,736.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,996.42 : 158,767.98 = 78,758.64 : x
  2. Step 2: Convert to fraction form
    114,996.42/158,767.98 = 78,758.64/x
  3. Step 3: Cross multiply
    114,996.42x = 158,767.98 × 78,758.64
  4. Step 4: Simplify right side
    114,996.42x = 12,504,350,180.35
  5. Step 5: Solve for x
    x = 12,504,350,180.35/114,996.42
  6. Step 6: Final answer
    x = 108,736.86

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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.