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Finding the Fourth Proportional to 68,659, 102,989.12 and 27,106

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Solution

The fourth proportional to 68,659, 102,989.12 and 27,106 is: 40,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,659 : 102,989.12 = 27,106 : x
  2. Step 2: Convert to fraction form
    68,659/102,989.12 = 27,106/x
  3. Step 3: Cross multiply
    68,659x = 102,989.12 × 27,106
  4. Step 4: Simplify right side
    68,659x = 2,791,623,086.72
  5. Step 5: Solve for x
    x = 2,791,623,086.72/68,659
  6. Step 6: Final answer
    x = 40,659.24

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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.