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Finding the Fourth Proportional to 30,107.52, 45,189 and 15,327

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Solution

The fourth proportional to 30,107.52, 45,189 and 15,327 is: 23,004.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.52 : 45,189 = 15,327 : x
  2. Step 2: Convert to fraction form
    30,107.52/45,189 = 15,327/x
  3. Step 3: Cross multiply
    30,107.52x = 45,189 × 15,327
  4. Step 4: Simplify right side
    30,107.52x = 692,611,803
  5. Step 5: Solve for x
    x = 692,611,803/30,107.52
  6. Step 6: Final answer
    x = 23,004.61

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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.