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Finding the Fourth Proportional to 51,979.50, 78,003.81 and 19,147.50

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Solution

The fourth proportional to 51,979.50, 78,003.81 and 19,147.50 is: 28,733.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,979.50 : 78,003.81 = 19,147.50 : x
  2. Step 2: Convert to fraction form
    51,979.50/78,003.81 = 19,147.50/x
  3. Step 3: Cross multiply
    51,979.50x = 78,003.81 × 19,147.50
  4. Step 4: Simplify right side
    51,979.50x = 1,493,577,951.98
  5. Step 5: Solve for x
    x = 1,493,577,951.98/51,979.50
  6. Step 6: Final answer
    x = 28,733.98

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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.