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Finding the Fourth Proportional to 213,789.20, 295,009 and 144,738.20

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Solution

The fourth proportional to 213,789.20, 295,009 and 144,738.20 is: 199,725.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,789.20 : 295,009 = 144,738.20 : x
  2. Step 2: Convert to fraction form
    213,789.20/295,009 = 144,738.20/x
  3. Step 3: Cross multiply
    213,789.20x = 295,009 × 144,738.20
  4. Step 4: Simplify right side
    213,789.20x = 42,699,070,906.28
  5. Step 5: Solve for x
    x = 42,699,070,906.28/213,789.20
  6. Step 6: Final answer
    x = 199,725.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.