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Finding the Fourth Proportional to 205,807.80, 308,906.10 and 127,075.80

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Solution

The fourth proportional to 205,807.80, 308,906.10 and 127,075.80 is: 190,733.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,807.80 : 308,906.10 = 127,075.80 : x
  2. Step 2: Convert to fraction form
    205,807.80/308,906.10 = 127,075.80/x
  3. Step 3: Cross multiply
    205,807.80x = 308,906.10 × 127,075.80
  4. Step 4: Simplify right side
    205,807.80x = 39,254,489,782.38
  5. Step 5: Solve for x
    x = 39,254,489,782.38/205,807.80
  6. Step 6: Final answer
    x = 190,733.73

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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.