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Finding the Fourth Proportional to 214,391.52, 321,599.88 and 72,225

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Solution

The fourth proportional to 214,391.52, 321,599.88 and 72,225 is: 108,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,391.52 : 321,599.88 = 72,225 : x
  2. Step 2: Convert to fraction form
    214,391.52/321,599.88 = 72,225/x
  3. Step 3: Cross multiply
    214,391.52x = 321,599.88 × 72,225
  4. Step 4: Simplify right side
    214,391.52x = 23,227,551,333
  5. Step 5: Solve for x
    x = 23,227,551,333/214,391.52
  6. Step 6: Final answer
    x = 108,341.74

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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.