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Finding the Fourth Proportional to 158,400, 218,592.40 and 86,781.44

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Solution

The fourth proportional to 158,400, 218,592.40 and 86,781.44 is: 119,758.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,400 : 218,592.40 = 86,781.44 : x
  2. Step 2: Convert to fraction form
    158,400/218,592.40 = 86,781.44/x
  3. Step 3: Cross multiply
    158,400x = 218,592.40 × 86,781.44
  4. Step 4: Simplify right side
    158,400x = 18,969,763,245.06
  5. Step 5: Solve for x
    x = 18,969,763,245.06/158,400
  6. Step 6: Final answer
    x = 119,758.61

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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.