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Finding the Fourth Proportional to 76,162.94, 114,244.44 and 20,758.94

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Solution

The fourth proportional to 76,162.94, 114,244.44 and 20,758.94 is: 31,138.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,162.94 : 114,244.44 = 20,758.94 : x
  2. Step 2: Convert to fraction form
    76,162.94/114,244.44 = 20,758.94/x
  3. Step 3: Cross multiply
    76,162.94x = 114,244.44 × 20,758.94
  4. Step 4: Simplify right side
    76,162.94x = 2,371,593,475.29
  5. Step 5: Solve for x
    x = 2,371,593,475.29/76,162.94
  6. Step 6: Final answer
    x = 31,138.42

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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.