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Finding the Fourth Proportional to 51,809.80, 77,728.37 and 21,826.71

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Solution

The fourth proportional to 51,809.80, 77,728.37 and 21,826.71 is: 32,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,809.80 : 77,728.37 = 21,826.71 : x
  2. Step 2: Convert to fraction form
    51,809.80/77,728.37 = 21,826.71/x
  3. Step 3: Cross multiply
    51,809.80x = 77,728.37 × 21,826.71
  4. Step 4: Simplify right side
    51,809.80x = 1,696,554,590.76
  5. Step 5: Solve for x
    x = 1,696,554,590.76/51,809.80
  6. Step 6: Final answer
    x = 32,745.82

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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.