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Finding the Fourth Proportional to 158,224, 218,349.12 and 87,568

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Solution

The fourth proportional to 158,224, 218,349.12 and 87,568 is: 120,843.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,224 : 218,349.12 = 87,568 : x
  2. Step 2: Convert to fraction form
    158,224/218,349.12 = 87,568/x
  3. Step 3: Cross multiply
    158,224x = 218,349.12 × 87,568
  4. Step 4: Simplify right side
    158,224x = 19,120,395,740.16
  5. Step 5: Solve for x
    x = 19,120,395,740.16/158,224
  6. Step 6: Final answer
    x = 120,843.84

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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.