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Finding the Fourth Proportional to 187,796.76, 259,161.57 and 102,912

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Solution

The fourth proportional to 187,796.76, 259,161.57 and 102,912 is: 142,019.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,796.76 : 259,161.57 = 102,912 : x
  2. Step 2: Convert to fraction form
    187,796.76/259,161.57 = 102,912/x
  3. Step 3: Cross multiply
    187,796.76x = 259,161.57 × 102,912
  4. Step 4: Simplify right side
    187,796.76x = 26,670,835,491.84
  5. Step 5: Solve for x
    x = 26,670,835,491.84/187,796.76
  6. Step 6: Final answer
    x = 142,019.68

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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.