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Finding the Fourth Proportional to 203,771.70, 305,985.60 and 153,908.10

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Solution

The fourth proportional to 203,771.70, 305,985.60 and 153,908.10 is: 231,109.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,771.70 : 305,985.60 = 153,908.10 : x
  2. Step 2: Convert to fraction form
    203,771.70/305,985.60 = 153,908.10/x
  3. Step 3: Cross multiply
    203,771.70x = 305,985.60 × 153,908.10
  4. Step 4: Simplify right side
    203,771.70x = 47,093,662,323.36
  5. Step 5: Solve for x
    x = 47,093,662,323.36/203,771.70
  6. Step 6: Final answer
    x = 231,109.93

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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.