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Finding the Fourth Proportional to 203,967.12, 305,383.68 and 153,896.16

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Solution

The fourth proportional to 203,967.12, 305,383.68 and 153,896.16 is: 230,416.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,967.12 : 305,383.68 = 153,896.16 : x
  2. Step 2: Convert to fraction form
    203,967.12/305,383.68 = 153,896.16/x
  3. Step 3: Cross multiply
    203,967.12x = 305,383.68 × 153,896.16
  4. Step 4: Simplify right side
    203,967.12x = 46,997,375,678.67
  5. Step 5: Solve for x
    x = 46,997,375,678.67/203,967.12
  6. Step 6: Final answer
    x = 230,416.43

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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.