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Finding the Fourth Proportional to 110,978.10, 166,357.80 and 54,772.20

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Solution

The fourth proportional to 110,978.10, 166,357.80 and 54,772.20 is: 82,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,978.10 : 166,357.80 = 54,772.20 : x
  2. Step 2: Convert to fraction form
    110,978.10/166,357.80 = 54,772.20/x
  3. Step 3: Cross multiply
    110,978.10x = 166,357.80 × 54,772.20
  4. Step 4: Simplify right side
    110,978.10x = 9,111,782,693.16
  5. Step 5: Solve for x
    x = 9,111,782,693.16/110,978.10
  6. Step 6: Final answer
    x = 82,104.33

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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.