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Finding the Fourth Proportional to 68,086.84, 102,130.95 and 20,709.61

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Solution

The fourth proportional to 68,086.84, 102,130.95 and 20,709.61 is: 31,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,086.84 : 102,130.95 = 20,709.61 : x
  2. Step 2: Convert to fraction form
    68,086.84/102,130.95 = 20,709.61/x
  3. Step 3: Cross multiply
    68,086.84x = 102,130.95 × 20,709.61
  4. Step 4: Simplify right side
    68,086.84x = 2,115,092,143.43
  5. Step 5: Solve for x
    x = 2,115,092,143.43/68,086.84
  6. Step 6: Final answer
    x = 31,064.62

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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.