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Finding the Fourth Proportional to 188,372.25, 259,953.84 and 103,494.78

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Solution

The fourth proportional to 188,372.25, 259,953.84 and 103,494.78 is: 142,822.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,372.25 : 259,953.84 = 103,494.78 : x
  2. Step 2: Convert to fraction form
    188,372.25/259,953.84 = 103,494.78/x
  3. Step 3: Cross multiply
    188,372.25x = 259,953.84 × 103,494.78
  4. Step 4: Simplify right side
    188,372.25x = 26,903,865,480.96
  5. Step 5: Solve for x
    x = 26,903,865,480.96/188,372.25
  6. Step 6: Final answer
    x = 142,822.87

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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.