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Finding the Fourth Proportional to 223,958.82, 309,063.12 and 123,356.82

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Solution

The fourth proportional to 223,958.82, 309,063.12 and 123,356.82 is: 170,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,958.82 : 309,063.12 = 123,356.82 : x
  2. Step 2: Convert to fraction form
    223,958.82/309,063.12 = 123,356.82/x
  3. Step 3: Cross multiply
    223,958.82x = 309,063.12 × 123,356.82
  4. Step 4: Simplify right side
    223,958.82x = 38,125,043,662.48
  5. Step 5: Solve for x
    x = 38,125,043,662.48/223,958.82
  6. Step 6: Final answer
    x = 170,232.38

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1.5x scale

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.