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Finding the Fourth Proportional to 187,963.86, 281,963.61 and 68,051.07

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Solution

The fourth proportional to 187,963.86, 281,963.61 and 68,051.07 is: 102,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,963.86 : 281,963.61 = 68,051.07 : x
  2. Step 2: Convert to fraction form
    187,963.86/281,963.61 = 68,051.07/x
  3. Step 3: Cross multiply
    187,963.86x = 281,963.61 × 68,051.07
  4. Step 4: Simplify right side
    187,963.86x = 19,187,925,361.56
  5. Step 5: Solve for x
    x = 19,187,925,361.56/187,963.86
  6. Step 6: Final answer
    x = 102,083.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.