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Finding the Fourth Proportional to 195,668.65, 270,017.96 and 109,631.23

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Solution

The fourth proportional to 195,668.65, 270,017.96 and 109,631.23 is: 151,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,668.65 : 270,017.96 = 109,631.23 : x
  2. Step 2: Convert to fraction form
    195,668.65/270,017.96 = 109,631.23/x
  3. Step 3: Cross multiply
    195,668.65x = 270,017.96 × 109,631.23
  4. Step 4: Simplify right side
    195,668.65x = 29,602,399,853.69
  5. Step 5: Solve for x
    x = 29,602,399,853.69/195,668.65
  6. Step 6: Final answer
    x = 151,288.41

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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.