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Finding the Fourth Proportional to 133,987.92, 200,986.16 and 67,391.68

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Solution

The fourth proportional to 133,987.92, 200,986.16 and 67,391.68 is: 101,089.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,987.92 : 200,986.16 = 67,391.68 : x
  2. Step 2: Convert to fraction form
    133,987.92/200,986.16 = 67,391.68/x
  3. Step 3: Cross multiply
    133,987.92x = 200,986.16 × 67,391.68
  4. Step 4: Simplify right side
    133,987.92x = 13,544,794,979.15
  5. Step 5: Solve for x
    x = 13,544,794,979.15/133,987.92
  6. Step 6: Final answer
    x = 101,089.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.