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Finding the Fourth Proportional to 171,183.16, 256,835.54 and 76,404.76

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Solution

The fourth proportional to 171,183.16, 256,835.54 and 76,404.76 is: 114,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,183.16 : 256,835.54 = 76,404.76 : x
  2. Step 2: Convert to fraction form
    171,183.16/256,835.54 = 76,404.76/x
  3. Step 3: Cross multiply
    171,183.16x = 256,835.54 × 76,404.76
  4. Step 4: Simplify right side
    171,183.16x = 19,623,457,793.17
  5. Step 5: Solve for x
    x = 19,623,457,793.17/171,183.16
  6. Step 6: Final answer
    x = 114,634.28

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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.