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Finding the Fourth Proportional to 234,542, 351,813 and 103,214

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Solution

The fourth proportional to 234,542, 351,813 and 103,214 is: 154,821

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,542 : 351,813 = 103,214 : x
  2. Step 2: Convert to fraction form
    234,542/351,813 = 103,214/x
  3. Step 3: Cross multiply
    234,542x = 351,813 × 103,214
  4. Step 4: Simplify right side
    234,542x = 36,312,026,982
  5. Step 5: Solve for x
    x = 36,312,026,982/234,542
  6. Step 6: Final answer
    x = 154,821

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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.