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Finding the Fourth Proportional to 40,160.71, 55,422.09 and 22,256

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Solution

The fourth proportional to 40,160.71, 55,422.09 and 22,256 is: 30,713.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,160.71 : 55,422.09 = 22,256 : x
  2. Step 2: Convert to fraction form
    40,160.71/55,422.09 = 22,256/x
  3. Step 3: Cross multiply
    40,160.71x = 55,422.09 × 22,256
  4. Step 4: Simplify right side
    40,160.71x = 1,233,473,923.76
  5. Step 5: Solve for x
    x = 1,233,473,923.76/40,160.71
  6. Step 6: Final answer
    x = 30,713.45

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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.