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Finding the Fourth Proportional to 217,332.67, 299,914.61 and 120,520.90

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Solution

The fourth proportional to 217,332.67, 299,914.61 and 120,520.90 is: 166,316.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,332.67 : 299,914.61 = 120,520.90 : x
  2. Step 2: Convert to fraction form
    217,332.67/299,914.61 = 120,520.90/x
  3. Step 3: Cross multiply
    217,332.67x = 299,914.61 × 120,520.90
  4. Step 4: Simplify right side
    217,332.67x = 36,145,978,720.35
  5. Step 5: Solve for x
    x = 36,145,978,720.35/217,332.67
  6. Step 6: Final answer
    x = 166,316.36

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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.