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Finding the Fourth Proportional to 285,078.56, 427,715.64 and 107,636.31

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Solution

The fourth proportional to 285,078.56, 427,715.64 and 107,636.31 is: 161,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,078.56 : 427,715.64 = 107,636.31 : x
  2. Step 2: Convert to fraction form
    285,078.56/427,715.64 = 107,636.31/x
  3. Step 3: Cross multiply
    285,078.56x = 427,715.64 × 107,636.31
  4. Step 4: Simplify right side
    285,078.56x = 46,037,733,218.89
  5. Step 5: Solve for x
    x = 46,037,733,218.89/285,078.56
  6. Step 6: Final answer
    x = 161,491.39

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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.