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Finding the Fourth Proportional to 214,118.64, 321,165 and 56,346.84

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Solution

The fourth proportional to 214,118.64, 321,165 and 56,346.84 is: 84,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,118.64 : 321,165 = 56,346.84 : x
  2. Step 2: Convert to fraction form
    214,118.64/321,165 = 56,346.84/x
  3. Step 3: Cross multiply
    214,118.64x = 321,165 × 56,346.84
  4. Step 4: Simplify right side
    214,118.64x = 18,096,632,868.60
  5. Step 5: Solve for x
    x = 18,096,632,868.60/214,118.64
  6. Step 6: Final answer
    x = 84,516.85

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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.