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Finding the Fourth Proportional to 30,102.52, 45,181.52 and 15,322

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Solution

The fourth proportional to 30,102.52, 45,181.52 and 15,322 is: 22,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,102.52 : 45,181.52 = 15,322 : x
  2. Step 2: Convert to fraction form
    30,102.52/45,181.52 = 15,322/x
  3. Step 3: Cross multiply
    30,102.52x = 45,181.52 × 15,322
  4. Step 4: Simplify right side
    30,102.52x = 692,271,249.44
  5. Step 5: Solve for x
    x = 692,271,249.44/30,102.52
  6. Step 6: Final answer
    x = 22,997.12

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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.