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Finding the Fourth Proportional to 256,668.42, 354,195.95 and 141,944.03

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Solution

The fourth proportional to 256,668.42, 354,195.95 and 141,944.03 is: 195,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668.42 : 354,195.95 = 141,944.03 : x
  2. Step 2: Convert to fraction form
    256,668.42/354,195.95 = 141,944.03/x
  3. Step 3: Cross multiply
    256,668.42x = 354,195.95 × 141,944.03
  4. Step 4: Simplify right side
    256,668.42x = 50,275,998,071.98
  5. Step 5: Solve for x
    x = 50,275,998,071.98/256,668.42
  6. Step 6: Final answer
    x = 195,879.17

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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.