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Finding the Fourth Proportional to 190,889.78, 263,306.84 and 117,270

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Solution

The fourth proportional to 190,889.78, 263,306.84 and 117,270 is: 161,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,889.78 : 263,306.84 = 117,270 : x
  2. Step 2: Convert to fraction form
    190,889.78/263,306.84 = 117,270/x
  3. Step 3: Cross multiply
    190,889.78x = 263,306.84 × 117,270
  4. Step 4: Simplify right side
    190,889.78x = 30,877,992,540.45
  5. Step 5: Solve for x
    x = 30,877,992,540.45/190,889.78
  6. Step 6: Final answer
    x = 161,758.23

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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.