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Finding the Fourth Proportional to 213,812.28, 294,965.28 and 123,144.48

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Solution

The fourth proportional to 213,812.28, 294,965.28 and 123,144.48 is: 169,884.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,812.28 : 294,965.28 = 123,144.48 : x
  2. Step 2: Convert to fraction form
    213,812.28/294,965.28 = 123,144.48/x
  3. Step 3: Cross multiply
    213,812.28x = 294,965.28 × 123,144.48
  4. Step 4: Simplify right side
    213,812.28x = 36,323,346,023.65
  5. Step 5: Solve for x
    x = 36,323,346,023.65/213,812.28
  6. Step 6: Final answer
    x = 169,884.28

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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.