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Finding the Fourth Proportional to 123,318.40, 184,977.60 and 91,825.60

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Solution

The fourth proportional to 123,318.40, 184,977.60 and 91,825.60 is: 137,738.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,318.40 : 184,977.60 = 91,825.60 : x
  2. Step 2: Convert to fraction form
    123,318.40/184,977.60 = 91,825.60/x
  3. Step 3: Cross multiply
    123,318.40x = 184,977.60 × 91,825.60
  4. Step 4: Simplify right side
    123,318.40x = 16,985,679,106.56
  5. Step 5: Solve for x
    x = 16,985,679,106.56/123,318.40
  6. Step 6: Final answer
    x = 137,738.40

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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.