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Finding the Fourth Proportional to 195,808.49, 270,195.41 and 115,231.21

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Solution

The fourth proportional to 195,808.49, 270,195.41 and 115,231.21 is: 159,007.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,808.49 : 270,195.41 = 115,231.21 : x
  2. Step 2: Convert to fraction form
    195,808.49/270,195.41 = 115,231.21/x
  3. Step 3: Cross multiply
    195,808.49x = 270,195.41 × 115,231.21
  4. Step 4: Simplify right side
    195,808.49x = 31,134,943,643.34
  5. Step 5: Solve for x
    x = 31,134,943,643.34/195,808.49
  6. Step 6: Final answer
    x = 159,007.12

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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.