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Finding the Fourth Proportional to 205,064.80, 307,726.80 and 120,824.80

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Solution

The fourth proportional to 205,064.80, 307,726.80 and 120,824.80 is: 181,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,064.80 : 307,726.80 = 120,824.80 : x
  2. Step 2: Convert to fraction form
    205,064.80/307,726.80 = 120,824.80/x
  3. Step 3: Cross multiply
    205,064.80x = 307,726.80 × 120,824.80
  4. Step 4: Simplify right side
    205,064.80x = 37,181,029,064.64
  5. Step 5: Solve for x
    x = 37,181,029,064.64/205,064.80
  6. Step 6: Final answer
    x = 181,313.56

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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.