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Finding the Fourth Proportional to 30,148, 41,604.24 and 18,372

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Solution

The fourth proportional to 30,148, 41,604.24 and 18,372 is: 25,353.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148 : 41,604.24 = 18,372 : x
  2. Step 2: Convert to fraction form
    30,148/41,604.24 = 18,372/x
  3. Step 3: Cross multiply
    30,148x = 41,604.24 × 18,372
  4. Step 4: Simplify right side
    30,148x = 764,353,097.28
  5. Step 5: Solve for x
    x = 764,353,097.28/30,148
  6. Step 6: Final answer
    x = 25,353.36

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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.