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Finding the Fourth Proportional to 40,006, 55,208.28 and 22,342

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Solution

The fourth proportional to 40,006, 55,208.28 and 22,342 is: 30,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,006 : 55,208.28 = 22,342 : x
  2. Step 2: Convert to fraction form
    40,006/55,208.28 = 22,342/x
  3. Step 3: Cross multiply
    40,006x = 55,208.28 × 22,342
  4. Step 4: Simplify right side
    40,006x = 1,233,463,391.76
  5. Step 5: Solve for x
    x = 1,233,463,391.76/40,006
  6. Step 6: Final answer
    x = 30,831.96

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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.