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Finding the Fourth Proportional to 205,004.80, 307,636.80 and 120,764.80

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Solution

The fourth proportional to 205,004.80, 307,636.80 and 120,764.80 is: 181,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,004.80 : 307,636.80 = 120,764.80 : x
  2. Step 2: Convert to fraction form
    205,004.80/307,636.80 = 120,764.80/x
  3. Step 3: Cross multiply
    205,004.80x = 307,636.80 × 120,764.80
  4. Step 4: Simplify right side
    205,004.80x = 37,151,696,624.64
  5. Step 5: Solve for x
    x = 37,151,696,624.64/205,004.80
  6. Step 6: Final answer
    x = 181,223.55

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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.