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Finding the Fourth Proportional to 205,352.80, 307,956.30 and 142,172.80

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Solution

The fourth proportional to 205,352.80, 307,956.30 and 142,172.80 is: 213,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,352.80 : 307,956.30 = 142,172.80 : x
  2. Step 2: Convert to fraction form
    205,352.80/307,956.30 = 142,172.80/x
  3. Step 3: Cross multiply
    205,352.80x = 307,956.30 × 142,172.80
  4. Step 4: Simplify right side
    205,352.80x = 43,783,009,448.64
  5. Step 5: Solve for x
    x = 43,783,009,448.64/205,352.80
  6. Step 6: Final answer
    x = 213,208.73

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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.