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Finding the Fourth Proportional to 245,183, 367,774.50 and 78,971

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Solution

The fourth proportional to 245,183, 367,774.50 and 78,971 is: 118,456.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,183 : 367,774.50 = 78,971 : x
  2. Step 2: Convert to fraction form
    245,183/367,774.50 = 78,971/x
  3. Step 3: Cross multiply
    245,183x = 367,774.50 × 78,971
  4. Step 4: Simplify right side
    245,183x = 29,043,520,039.50
  5. Step 5: Solve for x
    x = 29,043,520,039.50/245,183
  6. Step 6: Final answer
    x = 118,456.50

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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.