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Finding the Fourth Proportional to 205,373.94, 283,297.74 and 123,645.30

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Solution

The fourth proportional to 205,373.94, 283,297.74 and 123,645.30 is: 170,559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,373.94 : 283,297.74 = 123,645.30 : x
  2. Step 2: Convert to fraction form
    205,373.94/283,297.74 = 123,645.30/x
  3. Step 3: Cross multiply
    205,373.94x = 283,297.74 × 123,645.30
  4. Step 4: Simplify right side
    205,373.94x = 35,028,434,051.62
  5. Step 5: Solve for x
    x = 35,028,434,051.62/205,373.94
  6. Step 6: Final answer
    x = 170,559.29

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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.