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Finding the Fourth Proportional to 69,205.12, 103,672.81 and 43,826.81

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Solution

The fourth proportional to 69,205.12, 103,672.81 and 43,826.81 is: 65,654.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,205.12 : 103,672.81 = 43,826.81 : x
  2. Step 2: Convert to fraction form
    69,205.12/103,672.81 = 43,826.81/x
  3. Step 3: Cross multiply
    69,205.12x = 103,672.81 × 43,826.81
  4. Step 4: Simplify right side
    69,205.12x = 4,543,648,082.46
  5. Step 5: Solve for x
    x = 4,543,648,082.46/69,205.12
  6. Step 6: Final answer
    x = 65,654.80

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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.