Home / 205,933.82-284,175.29-115,289.06

Finding the Fourth Proportional to 205,933.82, 284,175.29 and 115,289.06

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Solution

The fourth proportional to 205,933.82, 284,175.29 and 115,289.06 is: 159,091.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,933.82 : 284,175.29 = 115,289.06 : x
  2. Step 2: Convert to fraction form
    205,933.82/284,175.29 = 115,289.06/x
  3. Step 3: Cross multiply
    205,933.82x = 284,175.29 × 115,289.06
  4. Step 4: Simplify right side
    205,933.82x = 32,762,300,926.67
  5. Step 5: Solve for x
    x = 32,762,300,926.67/205,933.82
  6. Step 6: Final answer
    x = 159,091.41

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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.