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Finding the Fourth Proportional to 158,910.33, 219,297.86 and 86,314.64

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Solution

The fourth proportional to 158,910.33, 219,297.86 and 86,314.64 is: 119,115.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,910.33 : 219,297.86 = 86,314.64 : x
  2. Step 2: Convert to fraction form
    158,910.33/219,297.86 = 86,314.64/x
  3. Step 3: Cross multiply
    158,910.33x = 219,297.86 × 86,314.64
  4. Step 4: Simplify right side
    158,910.33x = 18,928,615,119.81
  5. Step 5: Solve for x
    x = 18,928,615,119.81/158,910.33
  6. Step 6: Final answer
    x = 119,115.07

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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.