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Finding the Fourth Proportional to 51,876, 77,826.96 and 14,940

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Solution

The fourth proportional to 51,876, 77,826.96 and 14,940 is: 22,413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,876 : 77,826.96 = 14,940 : x
  2. Step 2: Convert to fraction form
    51,876/77,826.96 = 14,940/x
  3. Step 3: Cross multiply
    51,876x = 77,826.96 × 14,940
  4. Step 4: Simplify right side
    51,876x = 1,162,734,782.40
  5. Step 5: Solve for x
    x = 1,162,734,782.40/51,876
  6. Step 6: Final answer
    x = 22,413.73

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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.