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Finding the Fourth Proportional to 211,777.68, 317,724.84 and 71,634.72

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Solution

The fourth proportional to 211,777.68, 317,724.84 and 71,634.72 is: 107,471.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,777.68 : 317,724.84 = 71,634.72 : x
  2. Step 2: Convert to fraction form
    211,777.68/317,724.84 = 71,634.72/x
  3. Step 3: Cross multiply
    211,777.68x = 317,724.84 × 71,634.72
  4. Step 4: Simplify right side
    211,777.68x = 22,760,129,950.44
  5. Step 5: Solve for x
    x = 22,760,129,950.44/211,777.68
  6. Step 6: Final answer
    x = 107,471.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.