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Finding the Fourth Proportional to 277,406.31, 416,112.26 and 87,863.07

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Solution

The fourth proportional to 277,406.31, 416,112.26 and 87,863.07 is: 131,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,406.31 : 416,112.26 = 87,863.07 : x
  2. Step 2: Convert to fraction form
    277,406.31/416,112.26 = 87,863.07/x
  3. Step 3: Cross multiply
    277,406.31x = 416,112.26 × 87,863.07
  4. Step 4: Simplify right side
    277,406.31x = 36,560,901,749.34
  5. Step 5: Solve for x
    x = 36,560,901,749.34/277,406.31
  6. Step 6: Final answer
    x = 131,795.49

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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.