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Finding the Fourth Proportional to 217,014.12, 299,499.12 and 120,227.22

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Solution

The fourth proportional to 217,014.12, 299,499.12 and 120,227.22 is: 165,924.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,014.12 : 299,499.12 = 120,227.22 : x
  2. Step 2: Convert to fraction form
    217,014.12/299,499.12 = 120,227.22/x
  3. Step 3: Cross multiply
    217,014.12x = 299,499.12 × 120,227.22
  4. Step 4: Simplify right side
    217,014.12x = 36,007,946,590.05
  5. Step 5: Solve for x
    x = 36,007,946,590.05/217,014.12
  6. Step 6: Final answer
    x = 165,924.44

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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.