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Finding the Fourth Proportional to 228,009.78, 342,014.67 and 61,797.78

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Solution

The fourth proportional to 228,009.78, 342,014.67 and 61,797.78 is: 92,696.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,009.78 : 342,014.67 = 61,797.78 : x
  2. Step 2: Convert to fraction form
    228,009.78/342,014.67 = 61,797.78/x
  3. Step 3: Cross multiply
    228,009.78x = 342,014.67 × 61,797.78
  4. Step 4: Simplify right side
    228,009.78x = 21,135,747,333.43
  5. Step 5: Solve for x
    x = 21,135,747,333.43/228,009.78
  6. Step 6: Final answer
    x = 92,696.67

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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.