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Finding the Fourth Proportional to 196,309.80, 270,908.82 and 111,428.28

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Solution

The fourth proportional to 196,309.80, 270,908.82 and 111,428.28 is: 153,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,309.80 : 270,908.82 = 111,428.28 : x
  2. Step 2: Convert to fraction form
    196,309.80/270,908.82 = 111,428.28/x
  3. Step 3: Cross multiply
    196,309.80x = 270,908.82 × 111,428.28
  4. Step 4: Simplify right side
    196,309.80x = 30,186,903,849.43
  5. Step 5: Solve for x
    x = 30,186,903,849.43/196,309.80
  6. Step 6: Final answer
    x = 153,771.76

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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.