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Finding the Fourth Proportional to 86,781, 119,723.55 and 54,496.63

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Solution

The fourth proportional to 86,781, 119,723.55 and 54,496.63 is: 75,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,781 : 119,723.55 = 54,496.63 : x
  2. Step 2: Convert to fraction form
    86,781/119,723.55 = 54,496.63/x
  3. Step 3: Cross multiply
    86,781x = 119,723.55 × 54,496.63
  4. Step 4: Simplify right side
    86,781x = 6,524,529,408.02
  5. Step 5: Solve for x
    x = 6,524,529,408.02/86,781
  6. Step 6: Final answer
    x = 75,183.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.