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Finding the Fourth Proportional to 210,786.75, 316,156.84 and 53,015.27

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Solution

The fourth proportional to 210,786.75, 316,156.84 and 53,015.27 is: 79,517.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,786.75 : 316,156.84 = 53,015.27 : x
  2. Step 2: Convert to fraction form
    210,786.75/316,156.84 = 53,015.27/x
  3. Step 3: Cross multiply
    210,786.75x = 316,156.84 × 53,015.27
  4. Step 4: Simplify right side
    210,786.75x = 16,761,138,521.62
  5. Step 5: Solve for x
    x = 16,761,138,521.62/210,786.75
  6. Step 6: Final answer
    x = 79,517.04

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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.