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Finding the Fourth Proportional to 51,146.46, 76,674.51 and 19,959.90

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Solution

The fourth proportional to 51,146.46, 76,674.51 and 19,959.90 is: 29,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,146.46 : 76,674.51 = 19,959.90 : x
  2. Step 2: Convert to fraction form
    51,146.46/76,674.51 = 19,959.90/x
  3. Step 3: Cross multiply
    51,146.46x = 76,674.51 × 19,959.90
  4. Step 4: Simplify right side
    51,146.46x = 1,530,415,552.15
  5. Step 5: Solve for x
    x = 1,530,415,552.15/51,146.46
  6. Step 6: Final answer
    x = 29,922.22

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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.