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Finding the Fourth Proportional to 81,373.16, 122,078.37 and 31,453.67

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Solution

The fourth proportional to 81,373.16, 122,078.37 and 31,453.67 is: 47,187.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,373.16 : 122,078.37 = 31,453.67 : x
  2. Step 2: Convert to fraction form
    81,373.16/122,078.37 = 31,453.67/x
  3. Step 3: Cross multiply
    81,373.16x = 122,078.37 × 31,453.67
  4. Step 4: Simplify right side
    81,373.16x = 3,839,812,764.12
  5. Step 5: Solve for x
    x = 3,839,812,764.12/81,373.16
  6. Step 6: Final answer
    x = 47,187.71

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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.