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Finding the Fourth Proportional to 204,714.76, 306,864.10 and 84,836.92

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Solution

The fourth proportional to 204,714.76, 306,864.10 and 84,836.92 is: 127,169.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,714.76 : 306,864.10 = 84,836.92 : x
  2. Step 2: Convert to fraction form
    204,714.76/306,864.10 = 84,836.92/x
  3. Step 3: Cross multiply
    204,714.76x = 306,864.10 × 84,836.92
  4. Step 4: Simplify right side
    204,714.76x = 26,033,405,102.57
  5. Step 5: Solve for x
    x = 26,033,405,102.57/204,714.76
  6. Step 6: Final answer
    x = 127,169.17

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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.