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Finding the Fourth Proportional to 52,359.75, 78,572.43 and 21,195

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Solution

The fourth proportional to 52,359.75, 78,572.43 and 21,195 is: 31,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,359.75 : 78,572.43 = 21,195 : x
  2. Step 2: Convert to fraction form
    52,359.75/78,572.43 = 21,195/x
  3. Step 3: Cross multiply
    52,359.75x = 78,572.43 × 21,195
  4. Step 4: Simplify right side
    52,359.75x = 1,665,342,653.85
  5. Step 5: Solve for x
    x = 1,665,342,653.85/52,359.75
  6. Step 6: Final answer
    x = 31,805.78

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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.