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Finding the Fourth Proportional to 140,406, 210,609 and 41,910

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Solution

The fourth proportional to 140,406, 210,609 and 41,910 is: 62,865

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,406 : 210,609 = 41,910 : x
  2. Step 2: Convert to fraction form
    140,406/210,609 = 41,910/x
  3. Step 3: Cross multiply
    140,406x = 210,609 × 41,910
  4. Step 4: Simplify right side
    140,406x = 8,826,623,190
  5. Step 5: Solve for x
    x = 8,826,623,190/140,406
  6. Step 6: Final answer
    x = 62,865

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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.