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Finding the Fourth Proportional to 128,891.61, 193,334.49 and 75,919.63

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Solution

The fourth proportional to 128,891.61, 193,334.49 and 75,919.63 is: 113,877.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,891.61 : 193,334.49 = 75,919.63 : x
  2. Step 2: Convert to fraction form
    128,891.61/193,334.49 = 75,919.63/x
  3. Step 3: Cross multiply
    128,891.61x = 193,334.49 × 75,919.63
  4. Step 4: Simplify right side
    128,891.61x = 14,677,882,401.32
  5. Step 5: Solve for x
    x = 14,677,882,401.32/128,891.61
  6. Step 6: Final answer
    x = 113,877.71

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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.