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Finding the Fourth Proportional to 31,315, 43,237.38 and 20,156.44

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Solution

The fourth proportional to 31,315, 43,237.38 and 20,156.44 is: 27,830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315 : 43,237.38 = 20,156.44 : x
  2. Step 2: Convert to fraction form
    31,315/43,237.38 = 20,156.44/x
  3. Step 3: Cross multiply
    31,315x = 43,237.38 × 20,156.44
  4. Step 4: Simplify right side
    31,315x = 871,511,655.73
  5. Step 5: Solve for x
    x = 871,511,655.73/31,315
  6. Step 6: Final answer
    x = 27,830.49

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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.