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Finding the Fourth Proportional to 205,550.85, 308,326.13 and 55,813.11

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Solution

The fourth proportional to 205,550.85, 308,326.13 and 55,813.11 is: 83,719.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,550.85 : 308,326.13 = 55,813.11 : x
  2. Step 2: Convert to fraction form
    205,550.85/308,326.13 = 55,813.11/x
  3. Step 3: Cross multiply
    205,550.85x = 308,326.13 × 55,813.11
  4. Step 4: Simplify right side
    205,550.85x = 17,208,641,033.76
  5. Step 5: Solve for x
    x = 17,208,641,033.76/205,550.85
  6. Step 6: Final answer
    x = 83,719.63

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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.