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Finding the Fourth Proportional to 187,691.63, 259,014.51 and 102,811.73

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Solution

The fourth proportional to 187,691.63, 259,014.51 and 102,811.73 is: 141,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,691.63 : 259,014.51 = 102,811.73 : x
  2. Step 2: Convert to fraction form
    187,691.63/259,014.51 = 102,811.73/x
  3. Step 3: Cross multiply
    187,691.63x = 259,014.51 × 102,811.73
  4. Step 4: Simplify right side
    187,691.63x = 26,629,728,573.13
  5. Step 5: Solve for x
    x = 26,629,728,573.13/187,691.63
  6. Step 6: Final answer
    x = 141,880.22

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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.