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Finding the Fourth Proportional to 51,993.60, 71,738.64 and 30,778.08

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Solution

The fourth proportional to 51,993.60, 71,738.64 and 30,778.08 is: 42,466.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,993.60 : 71,738.64 = 30,778.08 : x
  2. Step 2: Convert to fraction form
    51,993.60/71,738.64 = 30,778.08/x
  3. Step 3: Cross multiply
    51,993.60x = 71,738.64 × 30,778.08
  4. Step 4: Simplify right side
    51,993.60x = 2,207,977,601.01
  5. Step 5: Solve for x
    x = 2,207,977,601.01/51,993.60
  6. Step 6: Final answer
    x = 42,466.33

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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.