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Finding the Fourth Proportional to 111,999.40, 167,768.70 and 76,978.60

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Solution

The fourth proportional to 111,999.40, 167,768.70 and 76,978.60 is: 115,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,999.40 : 167,768.70 = 76,978.60 : x
  2. Step 2: Convert to fraction form
    111,999.40/167,768.70 = 76,978.60/x
  3. Step 3: Cross multiply
    111,999.40x = 167,768.70 × 76,978.60
  4. Step 4: Simplify right side
    111,999.40x = 12,914,599,649.82
  5. Step 5: Solve for x
    x = 12,914,599,649.82/111,999.40
  6. Step 6: Final answer
    x = 115,309.54

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1.5x scale

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.