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Finding the Fourth Proportional to 68,257.64, 102,388.08 and 18,337.80

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Solution

The fourth proportional to 68,257.64, 102,388.08 and 18,337.80 is: 27,507.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,257.64 : 102,388.08 = 18,337.80 : x
  2. Step 2: Convert to fraction form
    68,257.64/102,388.08 = 18,337.80/x
  3. Step 3: Cross multiply
    68,257.64x = 102,388.08 × 18,337.80
  4. Step 4: Simplify right side
    68,257.64x = 1,877,572,133.42
  5. Step 5: Solve for x
    x = 1,877,572,133.42/68,257.64
  6. Step 6: Final answer
    x = 27,507.14

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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.