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Finding the Fourth Proportional to 206,840.68, 285,439.98 and 117,416.68

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Solution

The fourth proportional to 206,840.68, 285,439.98 and 117,416.68 is: 162,034.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.68 : 285,439.98 = 117,416.68 : x
  2. Step 2: Convert to fraction form
    206,840.68/285,439.98 = 117,416.68/x
  3. Step 3: Cross multiply
    206,840.68x = 285,439.98 × 117,416.68
  4. Step 4: Simplify right side
    206,840.68x = 33,515,414,790.87
  5. Step 5: Solve for x
    x = 33,515,414,790.87/206,840.68
  6. Step 6: Final answer
    x = 162,034.93

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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.