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Finding the Fourth Proportional to 205,468.80, 308,203.20 and 142,089.54

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Solution

The fourth proportional to 205,468.80, 308,203.20 and 142,089.54 is: 213,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,468.80 : 308,203.20 = 142,089.54 : x
  2. Step 2: Convert to fraction form
    205,468.80/308,203.20 = 142,089.54/x
  3. Step 3: Cross multiply
    205,468.80x = 308,203.20 × 142,089.54
  4. Step 4: Simplify right side
    205,468.80x = 43,792,450,914.53
  5. Step 5: Solve for x
    x = 43,792,450,914.53/205,468.80
  6. Step 6: Final answer
    x = 213,134.31

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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.