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Finding the Fourth Proportional to 77,409.85, 116,080.25 and 26,813.60

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Solution

The fourth proportional to 77,409.85, 116,080.25 and 26,813.60 is: 40,208.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409.85 : 116,080.25 = 26,813.60 : x
  2. Step 2: Convert to fraction form
    77,409.85/116,080.25 = 26,813.60/x
  3. Step 3: Cross multiply
    77,409.85x = 116,080.25 × 26,813.60
  4. Step 4: Simplify right side
    77,409.85x = 3,112,529,391.40
  5. Step 5: Solve for x
    x = 3,112,529,391.40/77,409.85
  6. Step 6: Final answer
    x = 40,208.44

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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.