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Finding the Fourth Proportional to 187,524.63, 258,786.42 and 102,639.87

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Solution

The fourth proportional to 187,524.63, 258,786.42 and 102,639.87 is: 141,644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,524.63 : 258,786.42 = 102,639.87 : x
  2. Step 2: Convert to fraction form
    187,524.63/258,786.42 = 102,639.87/x
  3. Step 3: Cross multiply
    187,524.63x = 258,786.42 × 102,639.87
  4. Step 4: Simplify right side
    187,524.63x = 26,561,802,699.43
  5. Step 5: Solve for x
    x = 26,561,802,699.43/187,524.63
  6. Step 6: Final answer
    x = 141,644.35

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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.