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Finding the Fourth Proportional to 201,159.72, 301,778.46 and 76,491

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Solution

The fourth proportional to 201,159.72, 301,778.46 and 76,491 is: 114,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,159.72 : 301,778.46 = 76,491 : x
  2. Step 2: Convert to fraction form
    201,159.72/301,778.46 = 76,491/x
  3. Step 3: Cross multiply
    201,159.72x = 301,778.46 × 76,491
  4. Step 4: Simplify right side
    201,159.72x = 23,083,336,183.86
  5. Step 5: Solve for x
    x = 23,083,336,183.86/201,159.72
  6. Step 6: Final answer
    x = 114,751.28

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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.