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Finding the Fourth Proportional to 187,704, 258,968.16 and 107,074.78

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Solution

The fourth proportional to 187,704, 258,968.16 and 107,074.78 is: 147,727.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,704 : 258,968.16 = 107,074.78 : x
  2. Step 2: Convert to fraction form
    187,704/258,968.16 = 107,074.78/x
  3. Step 3: Cross multiply
    187,704x = 258,968.16 × 107,074.78
  4. Step 4: Simplify right side
    187,704x = 27,728,958,759.00
  5. Step 5: Solve for x
    x = 27,728,958,759.00/187,704
  6. Step 6: Final answer
    x = 147,727.05

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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.