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Finding the Fourth Proportional to 205,340.20, 308,010.30 and 116,866.60

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Solution

The fourth proportional to 205,340.20, 308,010.30 and 116,866.60 is: 175,299.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,340.20 : 308,010.30 = 116,866.60 : x
  2. Step 2: Convert to fraction form
    205,340.20/308,010.30 = 116,866.60/x
  3. Step 3: Cross multiply
    205,340.20x = 308,010.30 × 116,866.60
  4. Step 4: Simplify right side
    205,340.20x = 35,996,116,525.98
  5. Step 5: Solve for x
    x = 35,996,116,525.98/205,340.20
  6. Step 6: Final answer
    x = 175,299.90

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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.