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Finding the Fourth Proportional to 253,188.80, 379,804.88 and 66,200

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Solution

The fourth proportional to 253,188.80, 379,804.88 and 66,200 is: 99,305.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,188.80 : 379,804.88 = 66,200 : x
  2. Step 2: Convert to fraction form
    253,188.80/379,804.88 = 66,200/x
  3. Step 3: Cross multiply
    253,188.80x = 379,804.88 × 66,200
  4. Step 4: Simplify right side
    253,188.80x = 25,143,083,056
  5. Step 5: Solve for x
    x = 25,143,083,056/253,188.80
  6. Step 6: Final answer
    x = 99,305.67

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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.