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Finding the Fourth Proportional to 205,012.80, 307,648.80 and 120,772.80

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Solution

The fourth proportional to 205,012.80, 307,648.80 and 120,772.80 is: 181,235.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,012.80 : 307,648.80 = 120,772.80 : x
  2. Step 2: Convert to fraction form
    205,012.80/307,648.80 = 120,772.80/x
  3. Step 3: Cross multiply
    205,012.80x = 307,648.80 × 120,772.80
  4. Step 4: Simplify right side
    205,012.80x = 37,155,606,992.64
  5. Step 5: Solve for x
    x = 37,155,606,992.64/205,012.80
  6. Step 6: Final answer
    x = 181,235.55

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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.