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Finding the Fourth Proportional to 205,394.40, 308,091.60 and 116,820.90

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Solution

The fourth proportional to 205,394.40, 308,091.60 and 116,820.90 is: 175,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,394.40 : 308,091.60 = 116,820.90 : x
  2. Step 2: Convert to fraction form
    205,394.40/308,091.60 = 116,820.90/x
  3. Step 3: Cross multiply
    205,394.40x = 308,091.60 × 116,820.90
  4. Step 4: Simplify right side
    205,394.40x = 35,991,537,994.44
  5. Step 5: Solve for x
    x = 35,991,537,994.44/205,394.40
  6. Step 6: Final answer
    x = 175,231.35

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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.