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Finding the Fourth Proportional to 75,990.96, 113,986.44 and 40,940.64

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Solution

The fourth proportional to 75,990.96, 113,986.44 and 40,940.64 is: 61,410.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,990.96 : 113,986.44 = 40,940.64 : x
  2. Step 2: Convert to fraction form
    75,990.96/113,986.44 = 40,940.64/x
  3. Step 3: Cross multiply
    75,990.96x = 113,986.44 × 40,940.64
  4. Step 4: Simplify right side
    75,990.96x = 4,666,677,804.92
  5. Step 5: Solve for x
    x = 4,666,677,804.92/75,990.96
  6. Step 6: Final answer
    x = 61,410.96

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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.