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Finding the Fourth Proportional to 149,221.54, 223,825.02 and 55,720

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Solution

The fourth proportional to 149,221.54, 223,825.02 and 55,720 is: 83,577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,221.54 : 223,825.02 = 55,720 : x
  2. Step 2: Convert to fraction form
    149,221.54/223,825.02 = 55,720/x
  3. Step 3: Cross multiply
    149,221.54x = 223,825.02 × 55,720
  4. Step 4: Simplify right side
    149,221.54x = 12,471,530,114.40
  5. Step 5: Solve for x
    x = 12,471,530,114.40/149,221.54
  6. Step 6: Final answer
    x = 83,577.28

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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.