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Finding the Fourth Proportional to 231,751, 319,816.38 and 125,767

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Solution

The fourth proportional to 231,751, 319,816.38 and 125,767 is: 173,558.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,751 : 319,816.38 = 125,767 : x
  2. Step 2: Convert to fraction form
    231,751/319,816.38 = 125,767/x
  3. Step 3: Cross multiply
    231,751x = 319,816.38 × 125,767
  4. Step 4: Simplify right side
    231,751x = 40,222,346,663.46
  5. Step 5: Solve for x
    x = 40,222,346,663.46/231,751
  6. Step 6: Final answer
    x = 173,558.46

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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.