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Finding the Fourth Proportional to 203,643.61, 305,068.07 and 133,309.69

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Solution

The fourth proportional to 203,643.61, 305,068.07 and 133,309.69 is: 199,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,643.61 : 305,068.07 = 133,309.69 : x
  2. Step 2: Convert to fraction form
    203,643.61/305,068.07 = 133,309.69/x
  3. Step 3: Cross multiply
    203,643.61x = 305,068.07 × 133,309.69
  4. Step 4: Simplify right side
    203,643.61x = 40,668,529,840.60
  5. Step 5: Solve for x
    x = 40,668,529,840.60/203,643.61
  6. Step 6: Final answer
    x = 199,704.42

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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.