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Finding the Fourth Proportional to 68,314.53, 102,464.10 and 18,398.28

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Solution

The fourth proportional to 68,314.53, 102,464.10 and 18,398.28 is: 27,595.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.53 : 102,464.10 = 18,398.28 : x
  2. Step 2: Convert to fraction form
    68,314.53/102,464.10 = 18,398.28/x
  3. Step 3: Cross multiply
    68,314.53x = 102,464.10 × 18,398.28
  4. Step 4: Simplify right side
    68,314.53x = 1,885,163,201.75
  5. Step 5: Solve for x
    x = 1,885,163,201.75/68,314.53
  6. Step 6: Final answer
    x = 27,595.35

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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.