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Finding the Fourth Proportional to 51,192, 76,779.09 and 13,754.61

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Solution

The fourth proportional to 51,192, 76,779.09 and 13,754.61 is: 20,629.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,192 : 76,779.09 = 13,754.61 : x
  2. Step 2: Convert to fraction form
    51,192/76,779.09 = 13,754.61/x
  3. Step 3: Cross multiply
    51,192x = 76,779.09 × 13,754.61
  4. Step 4: Simplify right side
    51,192x = 1,056,066,439.10
  5. Step 5: Solve for x
    x = 1,056,066,439.10/51,192
  6. Step 6: Final answer
    x = 20,629.52

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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.