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Finding the Fourth Proportional to 51,979, 78,003.06 and 19,147

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Solution

The fourth proportional to 51,979, 78,003.06 and 19,147 is: 28,733.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,979 : 78,003.06 = 19,147 : x
  2. Step 2: Convert to fraction form
    51,979/78,003.06 = 19,147/x
  3. Step 3: Cross multiply
    51,979x = 78,003.06 × 19,147
  4. Step 4: Simplify right side
    51,979x = 1,493,524,589.82
  5. Step 5: Solve for x
    x = 1,493,524,589.82/51,979
  6. Step 6: Final answer
    x = 28,733.23

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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.