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Finding the Fourth Proportional to 40,342, 55,671.96 and 22,678

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Solution

The fourth proportional to 40,342, 55,671.96 and 22,678 is: 31,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,342 : 55,671.96 = 22,678 : x
  2. Step 2: Convert to fraction form
    40,342/55,671.96 = 22,678/x
  3. Step 3: Cross multiply
    40,342x = 55,671.96 × 22,678
  4. Step 4: Simplify right side
    40,342x = 1,262,528,708.88
  5. Step 5: Solve for x
    x = 1,262,528,708.88/40,342
  6. Step 6: Final answer
    x = 31,295.64

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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.