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Finding the Fourth Proportional to 231,911.73, 319,896.73 and 153,329.42

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Solution

The fourth proportional to 231,911.73, 319,896.73 and 153,329.42 is: 211,501.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,911.73 : 319,896.73 = 153,329.42 : x
  2. Step 2: Convert to fraction form
    231,911.73/319,896.73 = 153,329.42/x
  3. Step 3: Cross multiply
    231,911.73x = 319,896.73 × 153,329.42
  4. Step 4: Simplify right side
    231,911.73x = 49,049,578,662.97
  5. Step 5: Solve for x
    x = 49,049,578,662.97/231,911.73
  6. Step 6: Final answer
    x = 211,501.06

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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.