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Finding the Fourth Proportional to 40,378, 55,721.80 and 22,714

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Solution

The fourth proportional to 40,378, 55,721.80 and 22,714 is: 31,345.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378 : 55,721.80 = 22,714 : x
  2. Step 2: Convert to fraction form
    40,378/55,721.80 = 22,714/x
  3. Step 3: Cross multiply
    40,378x = 55,721.80 × 22,714
  4. Step 4: Simplify right side
    40,378x = 1,265,664,965.20
  5. Step 5: Solve for x
    x = 1,265,664,965.20/40,378
  6. Step 6: Final answer
    x = 31,345.41

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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.