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Finding the Fourth Proportional to 223,164.21, 307,994.75 and 138,294.03

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Solution

The fourth proportional to 223,164.21, 307,994.75 and 138,294.03 is: 190,863.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,164.21 : 307,994.75 = 138,294.03 : x
  2. Step 2: Convert to fraction form
    223,164.21/307,994.75 = 138,294.03/x
  3. Step 3: Cross multiply
    223,164.21x = 307,994.75 × 138,294.03
  4. Step 4: Simplify right side
    223,164.21x = 42,593,836,956.36
  5. Step 5: Solve for x
    x = 42,593,836,956.36/223,164.21
  6. Step 6: Final answer
    x = 190,863.20

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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.