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Finding the Fourth Proportional to 111,893.78, 167,840.40 and 78,761.54

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Solution

The fourth proportional to 111,893.78, 167,840.40 and 78,761.54 is: 118,142.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,893.78 : 167,840.40 = 78,761.54 : x
  2. Step 2: Convert to fraction form
    111,893.78/167,840.40 = 78,761.54/x
  3. Step 3: Cross multiply
    111,893.78x = 167,840.40 × 78,761.54
  4. Step 4: Simplify right side
    111,893.78x = 13,219,368,378.22
  5. Step 5: Solve for x
    x = 13,219,368,378.22/111,893.78
  6. Step 6: Final answer
    x = 118,142.12

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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.