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Finding the Fourth Proportional to 31,206.38, 43,055.37 and 18,461.03

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Solution

The fourth proportional to 31,206.38, 43,055.37 and 18,461.03 is: 25,470.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,206.38 : 43,055.37 = 18,461.03 : x
  2. Step 2: Convert to fraction form
    31,206.38/43,055.37 = 18,461.03/x
  3. Step 3: Cross multiply
    31,206.38x = 43,055.37 × 18,461.03
  4. Step 4: Simplify right side
    31,206.38x = 794,846,261.95
  5. Step 5: Solve for x
    x = 794,846,261.95/31,206.38
  6. Step 6: Final answer
    x = 25,470.64

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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.