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Finding the Fourth Proportional to 86,503.50, 119,368.89 and 50,205.96

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Solution

The fourth proportional to 86,503.50, 119,368.89 and 50,205.96 is: 69,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,503.50 : 119,368.89 = 50,205.96 : x
  2. Step 2: Convert to fraction form
    86,503.50/119,368.89 = 50,205.96/x
  3. Step 3: Cross multiply
    86,503.50x = 119,368.89 × 50,205.96
  4. Step 4: Simplify right side
    86,503.50x = 5,993,029,716.58
  5. Step 5: Solve for x
    x = 5,993,029,716.58/86,503.50
  6. Step 6: Final answer
    x = 69,280.78

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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.