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Finding the Fourth Proportional to 211,144.96, 291,298.98 and 120,505.96

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Solution

The fourth proportional to 211,144.96, 291,298.98 and 120,505.96 is: 166,251.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.96 : 291,298.98 = 120,505.96 : x
  2. Step 2: Convert to fraction form
    211,144.96/291,298.98 = 120,505.96/x
  3. Step 3: Cross multiply
    211,144.96x = 291,298.98 × 120,505.96
  4. Step 4: Simplify right side
    211,144.96x = 35,103,263,231.92
  5. Step 5: Solve for x
    x = 35,103,263,231.92/211,144.96
  6. Step 6: Final answer
    x = 166,251.96

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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.