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Finding the Fourth Proportional to 206,855.68, 285,460.86 and 116,211.64

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Solution

The fourth proportional to 206,855.68, 285,460.86 and 116,211.64 is: 160,372.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,855.68 : 285,460.86 = 116,211.64 : x
  2. Step 2: Convert to fraction form
    206,855.68/285,460.86 = 116,211.64/x
  3. Step 3: Cross multiply
    206,855.68x = 285,460.86 × 116,211.64
  4. Step 4: Simplify right side
    206,855.68x = 33,173,874,696.41
  5. Step 5: Solve for x
    x = 33,173,874,696.41/206,855.68
  6. Step 6: Final answer
    x = 160,372.08

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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.