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Finding the Fourth Proportional to 30,154, 41,612.52 and 18,378

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Solution

The fourth proportional to 30,154, 41,612.52 and 18,378 is: 25,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154 : 41,612.52 = 18,378 : x
  2. Step 2: Convert to fraction form
    30,154/41,612.52 = 18,378/x
  3. Step 3: Cross multiply
    30,154x = 41,612.52 × 18,378
  4. Step 4: Simplify right side
    30,154x = 764,754,892.56
  5. Step 5: Solve for x
    x = 764,754,892.56/30,154
  6. Step 6: Final answer
    x = 25,361.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.