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Finding the Fourth Proportional to 40,161.71, 55,423.47 and 22,257

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Solution

The fourth proportional to 40,161.71, 55,423.47 and 22,257 is: 30,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,161.71 : 55,423.47 = 22,257 : x
  2. Step 2: Convert to fraction form
    40,161.71/55,423.47 = 22,257/x
  3. Step 3: Cross multiply
    40,161.71x = 55,423.47 × 22,257
  4. Step 4: Simplify right side
    40,161.71x = 1,233,560,171.79
  5. Step 5: Solve for x
    x = 1,233,560,171.79/40,161.71
  6. Step 6: Final answer
    x = 30,714.83

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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.