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Finding the Fourth Proportional to 203,419.70, 280,548.36 and 130,834.54

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Solution

The fourth proportional to 203,419.70, 280,548.36 and 130,834.54 is: 180,441.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,419.70 : 280,548.36 = 130,834.54 : x
  2. Step 2: Convert to fraction form
    203,419.70/280,548.36 = 130,834.54/x
  3. Step 3: Cross multiply
    203,419.70x = 280,548.36 × 130,834.54
  4. Step 4: Simplify right side
    203,419.70x = 36,705,415,979.04
  5. Step 5: Solve for x
    x = 36,705,415,979.04/203,419.70
  6. Step 6: Final answer
    x = 180,441.79

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Why These Related Problems?

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