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Finding the Fourth Proportional to 206,953.68, 285,674.10 and 120,940.59

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Solution

The fourth proportional to 206,953.68, 285,674.10 and 120,940.59 is: 166,943.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,953.68 : 285,674.10 = 120,940.59 : x
  2. Step 2: Convert to fraction form
    206,953.68/285,674.10 = 120,940.59/x
  3. Step 3: Cross multiply
    206,953.68x = 285,674.10 × 120,940.59
  4. Step 4: Simplify right side
    206,953.68x = 34,549,594,201.72
  5. Step 5: Solve for x
    x = 34,549,594,201.72/206,953.68
  6. Step 6: Final answer
    x = 166,943.61

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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.