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Finding the Fourth Proportional to 187,958.46, 259,387.80 and 107,399.10

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Solution

The fourth proportional to 187,958.46, 259,387.80 and 107,399.10 is: 148,213.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,958.46 : 259,387.80 = 107,399.10 : x
  2. Step 2: Convert to fraction form
    187,958.46/259,387.80 = 107,399.10/x
  3. Step 3: Cross multiply
    187,958.46x = 259,387.80 × 107,399.10
  4. Step 4: Simplify right side
    187,958.46x = 27,858,016,270.98
  5. Step 5: Solve for x
    x = 27,858,016,270.98/187,958.46
  6. Step 6: Final answer
    x = 148,213.69

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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.