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Finding the Fourth Proportional to 68,145.48, 102,227.94 and 21,402

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Solution

The fourth proportional to 68,145.48, 102,227.94 and 21,402 is: 32,106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,145.48 : 102,227.94 = 21,402 : x
  2. Step 2: Convert to fraction form
    68,145.48/102,227.94 = 21,402/x
  3. Step 3: Cross multiply
    68,145.48x = 102,227.94 × 21,402
  4. Step 4: Simplify right side
    68,145.48x = 2,187,882,371.88
  5. Step 5: Solve for x
    x = 2,187,882,371.88/68,145.48
  6. Step 6: Final answer
    x = 32,106.05

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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.