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Finding the Fourth Proportional to 68,311.22, 102,459.78 and 18,389.30

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Solution

The fourth proportional to 68,311.22, 102,459.78 and 18,389.30 is: 27,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,311.22 : 102,459.78 = 18,389.30 : x
  2. Step 2: Convert to fraction form
    68,311.22/102,459.78 = 18,389.30/x
  3. Step 3: Cross multiply
    68,311.22x = 102,459.78 × 18,389.30
  4. Step 4: Simplify right side
    68,311.22x = 1,884,163,120.06
  5. Step 5: Solve for x
    x = 1,884,163,120.06/68,311.22
  6. Step 6: Final answer
    x = 27,582.05

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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.