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Finding the Fourth Proportional to 231,362.87, 319,297.04 and 129,397.82

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Solution

The fourth proportional to 231,362.87, 319,297.04 and 129,397.82 is: 178,578.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,362.87 : 319,297.04 = 129,397.82 : x
  2. Step 2: Convert to fraction form
    231,362.87/319,297.04 = 129,397.82/x
  3. Step 3: Cross multiply
    231,362.87x = 319,297.04 × 129,397.82
  4. Step 4: Simplify right side
    231,362.87x = 41,316,338,664.98
  5. Step 5: Solve for x
    x = 41,316,338,664.98/231,362.87
  6. Step 6: Final answer
    x = 178,578.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.