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Finding the Fourth Proportional to 140,214, 210,321 and 41,718

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Solution

The fourth proportional to 140,214, 210,321 and 41,718 is: 62,577

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,214 : 210,321 = 41,718 : x
  2. Step 2: Convert to fraction form
    140,214/210,321 = 41,718/x
  3. Step 3: Cross multiply
    140,214x = 210,321 × 41,718
  4. Step 4: Simplify right side
    140,214x = 8,774,171,478
  5. Step 5: Solve for x
    x = 8,774,171,478/140,214
  6. Step 6: Final answer
    x = 62,577

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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.