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Finding the Fourth Proportional to 285,516.72, 428,109.06 and 108,037.44

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Solution

The fourth proportional to 285,516.72, 428,109.06 and 108,037.44 is: 161,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,516.72 : 428,109.06 = 108,037.44 : x
  2. Step 2: Convert to fraction form
    285,516.72/428,109.06 = 108,037.44/x
  3. Step 3: Cross multiply
    285,516.72x = 428,109.06 × 108,037.44
  4. Step 4: Simplify right side
    285,516.72x = 46,251,806,883.21
  5. Step 5: Solve for x
    x = 46,251,806,883.21/285,516.72
  6. Step 6: Final answer
    x = 161,993.34

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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.