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Finding the Fourth Proportional to 138,860.40, 191,627.64 and 75,198

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Solution

The fourth proportional to 138,860.40, 191,627.64 and 75,198 is: 103,773.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,860.40 : 191,627.64 = 75,198 : x
  2. Step 2: Convert to fraction form
    138,860.40/191,627.64 = 75,198/x
  3. Step 3: Cross multiply
    138,860.40x = 191,627.64 × 75,198
  4. Step 4: Simplify right side
    138,860.40x = 14,410,015,272.72
  5. Step 5: Solve for x
    x = 14,410,015,272.72/138,860.40
  6. Step 6: Final answer
    x = 103,773.40

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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.