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Finding the Fourth Proportional to 208,355.54, 312,318.79 and 81,944.54

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Solution

The fourth proportional to 208,355.54, 312,318.79 and 81,944.54 is: 122,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,355.54 : 312,318.79 = 81,944.54 : x
  2. Step 2: Convert to fraction form
    208,355.54/312,318.79 = 81,944.54/x
  3. Step 3: Cross multiply
    208,355.54x = 312,318.79 × 81,944.54
  4. Step 4: Simplify right side
    208,355.54x = 25,592,817,813.45
  5. Step 5: Solve for x
    x = 25,592,817,813.45/208,355.54
  6. Step 6: Final answer
    x = 122,832.43

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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.