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Finding the Fourth Proportional to 31,314, 43,236 and 20,155.44

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Solution

The fourth proportional to 31,314, 43,236 and 20,155.44 is: 27,829.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,314 : 43,236 = 20,155.44 : x
  2. Step 2: Convert to fraction form
    31,314/43,236 = 20,155.44/x
  3. Step 3: Cross multiply
    31,314x = 43,236 × 20,155.44
  4. Step 4: Simplify right side
    31,314x = 871,440,603.84
  5. Step 5: Solve for x
    x = 871,440,603.84/31,314
  6. Step 6: Final answer
    x = 27,829.11

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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.