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Finding the Fourth Proportional to 211,150.71, 291,306.90 and 120,511.71

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Solution

The fourth proportional to 211,150.71, 291,306.90 and 120,511.71 is: 166,259.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,150.71 : 291,306.90 = 120,511.71 : x
  2. Step 2: Convert to fraction form
    211,150.71/291,306.90 = 120,511.71/x
  3. Step 3: Cross multiply
    211,150.71x = 291,306.90 × 120,511.71
  4. Step 4: Simplify right side
    211,150.71x = 35,105,892,653.80
  5. Step 5: Solve for x
    x = 35,105,892,653.80/211,150.71
  6. Step 6: Final answer
    x = 166,259.88

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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.