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Finding the Fourth Proportional to 72,189.58, 108,296.05 and 22,258

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Solution

The fourth proportional to 72,189.58, 108,296.05 and 22,258 is: 33,390.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189.58 : 108,296.05 = 22,258 : x
  2. Step 2: Convert to fraction form
    72,189.58/108,296.05 = 22,258/x
  3. Step 3: Cross multiply
    72,189.58x = 108,296.05 × 22,258
  4. Step 4: Simplify right side
    72,189.58x = 2,410,453,480.90
  5. Step 5: Solve for x
    x = 2,410,453,480.90/72,189.58
  6. Step 6: Final answer
    x = 33,390.60

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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.