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Finding the Fourth Proportional to 205,446.78, 308,170.17 and 55,687.10

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Solution

The fourth proportional to 205,446.78, 308,170.17 and 55,687.10 is: 83,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,446.78 : 308,170.17 = 55,687.10 : x
  2. Step 2: Convert to fraction form
    205,446.78/308,170.17 = 55,687.10/x
  3. Step 3: Cross multiply
    205,446.78x = 308,170.17 × 55,687.10
  4. Step 4: Simplify right side
    205,446.78x = 17,161,101,532.96
  5. Step 5: Solve for x
    x = 17,161,101,532.96/205,446.78
  6. Step 6: Final answer
    x = 83,530.64

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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.