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Finding the Fourth Proportional to 78,208.54, 107,899.50 and 51,365.59

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Solution

The fourth proportional to 78,208.54, 107,899.50 and 51,365.59 is: 70,865.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,208.54 : 107,899.50 = 51,365.59 : x
  2. Step 2: Convert to fraction form
    78,208.54/107,899.50 = 51,365.59/x
  3. Step 3: Cross multiply
    78,208.54x = 107,899.50 × 51,365.59
  4. Step 4: Simplify right side
    78,208.54x = 5,542,321,478.21
  5. Step 5: Solve for x
    x = 5,542,321,478.21/78,208.54
  6. Step 6: Final answer
    x = 70,865.94

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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.