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Finding the Fourth Proportional to 68,614.55, 102,983.34 and 57,439.84

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Solution

The fourth proportional to 68,614.55, 102,983.34 and 57,439.84 is: 86,211.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,614.55 : 102,983.34 = 57,439.84 : x
  2. Step 2: Convert to fraction form
    68,614.55/102,983.34 = 57,439.84/x
  3. Step 3: Cross multiply
    68,614.55x = 102,983.34 × 57,439.84
  4. Step 4: Simplify right side
    68,614.55x = 5,915,346,400.20
  5. Step 5: Solve for x
    x = 5,915,346,400.20/68,614.55
  6. Step 6: Final answer
    x = 86,211.25

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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.