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Finding the Fourth Proportional to 217,331.67, 299,913.23 and 120,519.90

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Solution

The fourth proportional to 217,331.67, 299,913.23 and 120,519.90 is: 166,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,331.67 : 299,913.23 = 120,519.90 : x
  2. Step 2: Convert to fraction form
    217,331.67/299,913.23 = 120,519.90/x
  3. Step 3: Cross multiply
    217,331.67x = 299,913.23 × 120,519.90
  4. Step 4: Simplify right side
    217,331.67x = 36,145,512,754.38
  5. Step 5: Solve for x
    x = 36,145,512,754.38/217,331.67
  6. Step 6: Final answer
    x = 166,314.98

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1.5x scale

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.