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Finding the Fourth Proportional to 81,571.99, 122,343.40 and 51,901.69

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Solution

The fourth proportional to 81,571.99, 122,343.40 and 51,901.69 is: 77,843.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,571.99 : 122,343.40 = 51,901.69 : x
  2. Step 2: Convert to fraction form
    81,571.99/122,343.40 = 51,901.69/x
  3. Step 3: Cross multiply
    81,571.99x = 122,343.40 × 51,901.69
  4. Step 4: Simplify right side
    81,571.99x = 6,349,829,220.35
  5. Step 5: Solve for x
    x = 6,349,829,220.35/81,571.99
  6. Step 6: Final answer
    x = 77,843.26

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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.