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Finding the Fourth Proportional to 31,163.40, 46,745.10 and 10,103.40

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Solution

The fourth proportional to 31,163.40, 46,745.10 and 10,103.40 is: 15,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,163.40 : 46,745.10 = 10,103.40 : x
  2. Step 2: Convert to fraction form
    31,163.40/46,745.10 = 10,103.40/x
  3. Step 3: Cross multiply
    31,163.40x = 46,745.10 × 10,103.40
  4. Step 4: Simplify right side
    31,163.40x = 472,284,443.34
  5. Step 5: Solve for x
    x = 472,284,443.34/31,163.40
  6. Step 6: Final answer
    x = 15,155.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.