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Finding the Fourth Proportional to 203,037, 280,318.14 and 130,469.28

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Solution

The fourth proportional to 203,037, 280,318.14 and 130,469.28 is: 180,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,037 : 280,318.14 = 130,469.28 : x
  2. Step 2: Convert to fraction form
    203,037/280,318.14 = 130,469.28/x
  3. Step 3: Cross multiply
    203,037x = 280,318.14 × 130,469.28
  4. Step 4: Simplify right side
    203,037x = 36,572,905,896.74
  5. Step 5: Solve for x
    x = 36,572,905,896.74/203,037
  6. Step 6: Final answer
    x = 180,129.27

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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.