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Finding the Fourth Proportional to 223,419.40, 335,023.81 and 81,164.36

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Solution

The fourth proportional to 223,419.40, 335,023.81 and 81,164.36 is: 121,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,419.40 : 335,023.81 = 81,164.36 : x
  2. Step 2: Convert to fraction form
    223,419.40/335,023.81 = 81,164.36/x
  3. Step 3: Cross multiply
    223,419.40x = 335,023.81 × 81,164.36
  4. Step 4: Simplify right side
    223,419.40x = 27,191,993,758.06
  5. Step 5: Solve for x
    x = 27,191,993,758.06/223,419.40
  6. Step 6: Final answer
    x = 121,708.29

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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.