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Finding the Fourth Proportional to 68,508.68, 102,772.80 and 21,127.76

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Solution

The fourth proportional to 68,508.68, 102,772.80 and 21,127.76 is: 31,694.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,508.68 : 102,772.80 = 21,127.76 : x
  2. Step 2: Convert to fraction form
    68,508.68/102,772.80 = 21,127.76/x
  3. Step 3: Cross multiply
    68,508.68x = 102,772.80 × 21,127.76
  4. Step 4: Simplify right side
    68,508.68x = 2,171,359,052.93
  5. Step 5: Solve for x
    x = 2,171,359,052.93/68,508.68
  6. Step 6: Final answer
    x = 31,694.66

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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.