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Finding the Fourth Proportional to 187,674.30, 258,978.87 and 102,786.30

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Solution

The fourth proportional to 187,674.30, 258,978.87 and 102,786.30 is: 141,838.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,674.30 : 258,978.87 = 102,786.30 : x
  2. Step 2: Convert to fraction form
    187,674.30/258,978.87 = 102,786.30/x
  3. Step 3: Cross multiply
    187,674.30x = 258,978.87 × 102,786.30
  4. Step 4: Simplify right side
    187,674.30x = 26,619,479,825.48
  5. Step 5: Solve for x
    x = 26,619,479,825.48/187,674.30
  6. Step 6: Final answer
    x = 141,838.71

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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.