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Finding the Fourth Proportional to 51,804.28, 71,489.80 and 29,143.28

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Solution

The fourth proportional to 51,804.28, 71,489.80 and 29,143.28 is: 40,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,804.28 : 71,489.80 = 29,143.28 : x
  2. Step 2: Convert to fraction form
    51,804.28/71,489.80 = 29,143.28/x
  3. Step 3: Cross multiply
    51,804.28x = 71,489.80 × 29,143.28
  4. Step 4: Simplify right side
    51,804.28x = 2,083,447,258.54
  5. Step 5: Solve for x
    x = 2,083,447,258.54/51,804.28
  6. Step 6: Final answer
    x = 40,217.67

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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.