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Finding the Fourth Proportional to 223,161.75, 307,991.30 and 138,291.57

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Solution

The fourth proportional to 223,161.75, 307,991.30 and 138,291.57 is: 190,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,161.75 : 307,991.30 = 138,291.57 : x
  2. Step 2: Convert to fraction form
    223,161.75/307,991.30 = 138,291.57/x
  3. Step 3: Cross multiply
    223,161.75x = 307,991.30 × 138,291.57
  4. Step 4: Simplify right side
    223,161.75x = 42,592,599,731.88
  5. Step 5: Solve for x
    x = 42,592,599,731.88/223,161.75
  6. Step 6: Final answer
    x = 190,859.77

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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.