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Finding the Fourth Proportional to 203,346.40, 305,165.40 and 114,505.60

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Solution

The fourth proportional to 203,346.40, 305,165.40 and 114,505.60 is: 171,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,346.40 : 305,165.40 = 114,505.60 : x
  2. Step 2: Convert to fraction form
    203,346.40/305,165.40 = 114,505.60/x
  3. Step 3: Cross multiply
    203,346.40x = 305,165.40 × 114,505.60
  4. Step 4: Simplify right side
    203,346.40x = 34,943,147,226.24
  5. Step 5: Solve for x
    x = 34,943,147,226.24/203,346.40
  6. Step 6: Final answer
    x = 171,840.50

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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.