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Finding the Fourth Proportional to 114,408.37, 157,708.54 and 80,321.23

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Solution

The fourth proportional to 114,408.37, 157,708.54 and 80,321.23 is: 110,720.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,408.37 : 157,708.54 = 80,321.23 : x
  2. Step 2: Convert to fraction form
    114,408.37/157,708.54 = 80,321.23/x
  3. Step 3: Cross multiply
    114,408.37x = 157,708.54 × 80,321.23
  4. Step 4: Simplify right side
    114,408.37x = 12,667,343,914.30
  5. Step 5: Solve for x
    x = 12,667,343,914.30/114,408.37
  6. Step 6: Final answer
    x = 110,720.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.