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Finding the Fourth Proportional to 51,747.59, 77,651.51 and 21,759.66

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Solution

The fourth proportional to 51,747.59, 77,651.51 and 21,759.66 is: 32,652.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,747.59 : 77,651.51 = 21,759.66 : x
  2. Step 2: Convert to fraction form
    51,747.59/77,651.51 = 21,759.66/x
  3. Step 3: Cross multiply
    51,747.59x = 77,651.51 × 21,759.66
  4. Step 4: Simplify right side
    51,747.59x = 1,689,670,456.09
  5. Step 5: Solve for x
    x = 1,689,670,456.09/51,747.59
  6. Step 6: Final answer
    x = 32,652.16

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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.