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Finding the Fourth Proportional to 40,422.99, 55,785.42 and 22,518

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Solution

The fourth proportional to 40,422.99, 55,785.42 and 22,518 is: 31,075.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,422.99 : 55,785.42 = 22,518 : x
  2. Step 2: Convert to fraction form
    40,422.99/55,785.42 = 22,518/x
  3. Step 3: Cross multiply
    40,422.99x = 55,785.42 × 22,518
  4. Step 4: Simplify right side
    40,422.99x = 1,256,176,087.56
  5. Step 5: Solve for x
    x = 1,256,176,087.56/40,422.99
  6. Step 6: Final answer
    x = 31,075.78

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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.