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Finding the Fourth Proportional to 30,146, 41,601.54 and 16,898

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Solution

The fourth proportional to 30,146, 41,601.54 and 16,898 is: 23,319.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,146 : 41,601.54 = 16,898 : x
  2. Step 2: Convert to fraction form
    30,146/41,601.54 = 16,898/x
  3. Step 3: Cross multiply
    30,146x = 41,601.54 × 16,898
  4. Step 4: Simplify right side
    30,146x = 702,982,822.92
  5. Step 5: Solve for x
    x = 702,982,822.92/30,146
  6. Step 6: Final answer
    x = 23,319.27

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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.