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Finding the Fourth Proportional to 31,178.45, 43,024.65 and 17,028.56

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Solution

The fourth proportional to 31,178.45, 43,024.65 and 17,028.56 is: 23,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.45 : 43,024.65 = 17,028.56 : x
  2. Step 2: Convert to fraction form
    31,178.45/43,024.65 = 17,028.56/x
  3. Step 3: Cross multiply
    31,178.45x = 43,024.65 × 17,028.56
  4. Step 4: Simplify right side
    31,178.45x = 732,647,834.00
  5. Step 5: Solve for x
    x = 732,647,834.00/31,178.45
  6. Step 6: Final answer
    x = 23,498.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.