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Finding the Fourth Proportional to 51,797.88, 77,713.25 and 18,517.23

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Solution

The fourth proportional to 51,797.88, 77,713.25 and 18,517.23 is: 27,781.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,797.88 : 77,713.25 = 18,517.23 : x
  2. Step 2: Convert to fraction form
    51,797.88/77,713.25 = 18,517.23/x
  3. Step 3: Cross multiply
    51,797.88x = 77,713.25 × 18,517.23
  4. Step 4: Simplify right side
    51,797.88x = 1,439,034,031.71
  5. Step 5: Solve for x
    x = 1,439,034,031.71/51,797.88
  6. Step 6: Final answer
    x = 27,781.72

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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.