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Finding the Fourth Proportional to 75,963.82, 113,979.14 and 40,416.78

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Solution

The fourth proportional to 75,963.82, 113,979.14 and 40,416.78 is: 60,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,963.82 : 113,979.14 = 40,416.78 : x
  2. Step 2: Convert to fraction form
    75,963.82/113,979.14 = 40,416.78/x
  3. Step 3: Cross multiply
    75,963.82x = 113,979.14 × 40,416.78
  4. Step 4: Simplify right side
    75,963.82x = 4,606,669,623.89
  5. Step 5: Solve for x
    x = 4,606,669,623.89/75,963.82
  6. Step 6: Final answer
    x = 60,642.94

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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.