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Finding the Fourth Proportional to 203,285, 280,533.30 and 113,861

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Solution

The fourth proportional to 203,285, 280,533.30 and 113,861 is: 157,128.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,285 : 280,533.30 = 113,861 : x
  2. Step 2: Convert to fraction form
    203,285/280,533.30 = 113,861/x
  3. Step 3: Cross multiply
    203,285x = 280,533.30 × 113,861
  4. Step 4: Simplify right side
    203,285x = 31,941,802,071.30
  5. Step 5: Solve for x
    x = 31,941,802,071.30/203,285
  6. Step 6: Final answer
    x = 157,128.18

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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.