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Finding the Fourth Proportional to 31,218, 43,081.02 and 20,040

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Solution

The fourth proportional to 31,218, 43,081.02 and 20,040 is: 27,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,218 : 43,081.02 = 20,040 : x
  2. Step 2: Convert to fraction form
    31,218/43,081.02 = 20,040/x
  3. Step 3: Cross multiply
    31,218x = 43,081.02 × 20,040
  4. Step 4: Simplify right side
    31,218x = 863,343,640.80
  5. Step 5: Solve for x
    x = 863,343,640.80/31,218
  6. Step 6: Final answer
    x = 27,655.32

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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.