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Finding the Fourth Proportional to 51,726, 77,589 and 16,669.20

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Solution

The fourth proportional to 51,726, 77,589 and 16,669.20 is: 25,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,726 : 77,589 = 16,669.20 : x
  2. Step 2: Convert to fraction form
    51,726/77,589 = 16,669.20/x
  3. Step 3: Cross multiply
    51,726x = 77,589 × 16,669.20
  4. Step 4: Simplify right side
    51,726x = 1,293,346,558.80
  5. Step 5: Solve for x
    x = 1,293,346,558.80/51,726
  6. Step 6: Final answer
    x = 25,003.80

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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.