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Finding the Fourth Proportional to 77,469.94, 116,185.77 and 21,307.33

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Solution

The fourth proportional to 77,469.94, 116,185.77 and 21,307.33 is: 31,955.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,469.94 : 116,185.77 = 21,307.33 : x
  2. Step 2: Convert to fraction form
    77,469.94/116,185.77 = 21,307.33/x
  3. Step 3: Cross multiply
    77,469.94x = 116,185.77 × 21,307.33
  4. Step 4: Simplify right side
    77,469.94x = 2,475,608,301.23
  5. Step 5: Solve for x
    x = 2,475,608,301.23/77,469.94
  6. Step 6: Final answer
    x = 31,955.73

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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.