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Finding the Fourth Proportional to 218,279.52, 301,223.76 and 122,786.94

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Solution

The fourth proportional to 218,279.52, 301,223.76 and 122,786.94 is: 169,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,279.52 : 301,223.76 = 122,786.94 : x
  2. Step 2: Convert to fraction form
    218,279.52/301,223.76 = 122,786.94/x
  3. Step 3: Cross multiply
    218,279.52x = 301,223.76 × 122,786.94
  4. Step 4: Simplify right side
    218,279.52x = 36,986,343,745.69
  5. Step 5: Solve for x
    x = 36,986,343,745.69/218,279.52
  6. Step 6: Final answer
    x = 169,444.86

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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.