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Finding the Fourth Proportional to 213,121, 319,687.26 and 65,377

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Solution

The fourth proportional to 213,121, 319,687.26 and 65,377 is: 98,067.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,121 : 319,687.26 = 65,377 : x
  2. Step 2: Convert to fraction form
    213,121/319,687.26 = 65,377/x
  3. Step 3: Cross multiply
    213,121x = 319,687.26 × 65,377
  4. Step 4: Simplify right side
    213,121x = 20,900,193,997.02
  5. Step 5: Solve for x
    x = 20,900,193,997.02/213,121
  6. Step 6: Final answer
    x = 98,067.27

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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.