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Finding the Fourth Proportional to 205,386.82, 308,076.89 and 79,054.51

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Solution

The fourth proportional to 205,386.82, 308,076.89 and 79,054.51 is: 118,580.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,386.82 : 308,076.89 = 79,054.51 : x
  2. Step 2: Convert to fraction form
    205,386.82/308,076.89 = 79,054.51/x
  3. Step 3: Cross multiply
    205,386.82x = 308,076.89 × 79,054.51
  4. Step 4: Simplify right side
    205,386.82x = 24,354,867,581.27
  5. Step 5: Solve for x
    x = 24,354,867,581.27/205,386.82
  6. Step 6: Final answer
    x = 118,580.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.