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Finding the Fourth Proportional to 214,891.56, 322,336.89 and 57,120

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Solution

The fourth proportional to 214,891.56, 322,336.89 and 57,120 is: 85,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,891.56 : 322,336.89 = 57,120 : x
  2. Step 2: Convert to fraction form
    214,891.56/322,336.89 = 57,120/x
  3. Step 3: Cross multiply
    214,891.56x = 322,336.89 × 57,120
  4. Step 4: Simplify right side
    214,891.56x = 18,411,883,156.80
  5. Step 5: Solve for x
    x = 18,411,883,156.80/214,891.56
  6. Step 6: Final answer
    x = 85,679.88

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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.