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Finding the Fourth Proportional to 101,678.75, 152,571.31 and 73,828.85

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Solution

The fourth proportional to 101,678.75, 152,571.31 and 73,828.85 is: 110,781.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,678.75 : 152,571.31 = 73,828.85 : x
  2. Step 2: Convert to fraction form
    101,678.75/152,571.31 = 73,828.85/x
  3. Step 3: Cross multiply
    101,678.75x = 152,571.31 × 73,828.85
  4. Step 4: Simplify right side
    101,678.75x = 11,264,164,360.29
  5. Step 5: Solve for x
    x = 11,264,164,360.29/101,678.75
  6. Step 6: Final answer
    x = 110,781.89

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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.