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Finding the Fourth Proportional to 78,824.80, 118,120.38 and 64,883.80

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Solution

The fourth proportional to 78,824.80, 118,120.38 and 64,883.80 is: 97,229.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,824.80 : 118,120.38 = 64,883.80 : x
  2. Step 2: Convert to fraction form
    78,824.80/118,120.38 = 64,883.80/x
  3. Step 3: Cross multiply
    78,824.80x = 118,120.38 × 64,883.80
  4. Step 4: Simplify right side
    78,824.80x = 7,664,099,111.84
  5. Step 5: Solve for x
    x = 7,664,099,111.84/78,824.80
  6. Step 6: Final answer
    x = 97,229.54

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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.