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Finding the Fourth Proportional to 30,148, 41,604.24 and 16,900

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Solution

The fourth proportional to 30,148, 41,604.24 and 16,900 is: 23,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,148 : 41,604.24 = 16,900 : x
  2. Step 2: Convert to fraction form
    30,148/41,604.24 = 16,900/x
  3. Step 3: Cross multiply
    30,148x = 41,604.24 × 16,900
  4. Step 4: Simplify right side
    30,148x = 703,111,656
  5. Step 5: Solve for x
    x = 703,111,656/30,148
  6. Step 6: Final answer
    x = 23,322

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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.