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Finding the Fourth Proportional to 31,303, 43,198.14 and 18,055

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Solution

The fourth proportional to 31,303, 43,198.14 and 18,055 is: 24,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,303 : 43,198.14 = 18,055 : x
  2. Step 2: Convert to fraction form
    31,303/43,198.14 = 18,055/x
  3. Step 3: Cross multiply
    31,303x = 43,198.14 × 18,055
  4. Step 4: Simplify right side
    31,303x = 779,942,417.70
  5. Step 5: Solve for x
    x = 779,942,417.70/31,303
  6. Step 6: Final answer
    x = 24,915.90

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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.