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Finding the Fourth Proportional to 212,699.66, 319,121.94 and 133,721.42

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Solution

The fourth proportional to 212,699.66, 319,121.94 and 133,721.42 is: 200,627.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,699.66 : 319,121.94 = 133,721.42 : x
  2. Step 2: Convert to fraction form
    212,699.66/319,121.94 = 133,721.42/x
  3. Step 3: Cross multiply
    212,699.66x = 319,121.94 × 133,721.42
  4. Step 4: Simplify right side
    212,699.66x = 42,673,438,969.95
  5. Step 5: Solve for x
    x = 42,673,438,969.95/212,699.66
  6. Step 6: Final answer
    x = 200,627.68

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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.