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Finding the Fourth Proportional to 223,978.16, 309,067.45 and 137,923.36

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Solution

The fourth proportional to 223,978.16, 309,067.45 and 137,923.36 is: 190,320.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,978.16 : 309,067.45 = 137,923.36 : x
  2. Step 2: Convert to fraction form
    223,978.16/309,067.45 = 137,923.36/x
  3. Step 3: Cross multiply
    223,978.16x = 309,067.45 × 137,923.36
  4. Step 4: Simplify right side
    223,978.16x = 42,627,620,053.16
  5. Step 5: Solve for x
    x = 42,627,620,053.16/223,978.16
  6. Step 6: Final answer
    x = 190,320.43

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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.