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Finding the Fourth Proportional to 30,751, 46,129.74 and 14,108.20

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Solution

The fourth proportional to 30,751, 46,129.74 and 14,108.20 is: 21,163.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751 : 46,129.74 = 14,108.20 : x
  2. Step 2: Convert to fraction form
    30,751/46,129.74 = 14,108.20/x
  3. Step 3: Cross multiply
    30,751x = 46,129.74 × 14,108.20
  4. Step 4: Simplify right side
    30,751x = 650,807,597.87
  5. Step 5: Solve for x
    x = 650,807,597.87/30,751
  6. Step 6: Final answer
    x = 21,163.79

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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.