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Finding the Fourth Proportional to 214,660.64, 321,572.08 and 140,564

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Solution

The fourth proportional to 214,660.64, 321,572.08 and 140,564 is: 210,571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,660.64 : 321,572.08 = 140,564 : x
  2. Step 2: Convert to fraction form
    214,660.64/321,572.08 = 140,564/x
  3. Step 3: Cross multiply
    214,660.64x = 321,572.08 × 140,564
  4. Step 4: Simplify right side
    214,660.64x = 45,201,457,853.12
  5. Step 5: Solve for x
    x = 45,201,457,853.12/214,660.64
  6. Step 6: Final answer
    x = 210,571.71

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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.