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Finding the Fourth Proportional to 223,965.75, 309,072.74 and 123,363.75

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Solution

The fourth proportional to 223,965.75, 309,072.74 and 123,363.75 is: 170,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,965.75 : 309,072.74 = 123,363.75 : x
  2. Step 2: Convert to fraction form
    223,965.75/309,072.74 = 123,363.75/x
  3. Step 3: Cross multiply
    223,965.75x = 309,072.74 × 123,363.75
  4. Step 4: Simplify right side
    223,965.75x = 38,128,371,612.36
  5. Step 5: Solve for x
    x = 38,128,371,612.36/223,965.75
  6. Step 6: Final answer
    x = 170,241.98

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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.