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Finding the Fourth Proportional to 76,620, 114,908.22 and 32,256.84

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Solution

The fourth proportional to 76,620, 114,908.22 and 32,256.84 is: 48,376.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620 : 114,908.22 = 32,256.84 : x
  2. Step 2: Convert to fraction form
    76,620/114,908.22 = 32,256.84/x
  3. Step 3: Cross multiply
    76,620x = 114,908.22 × 32,256.84
  4. Step 4: Simplify right side
    76,620x = 3,706,576,067.22
  5. Step 5: Solve for x
    x = 3,706,576,067.22/76,620
  6. Step 6: Final answer
    x = 48,376.09

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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.