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Finding the Fourth Proportional to 185,369.09, 278,075.50 and 138,917.21

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Solution

The fourth proportional to 185,369.09, 278,075.50 and 138,917.21 is: 208,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,369.09 : 278,075.50 = 138,917.21 : x
  2. Step 2: Convert to fraction form
    185,369.09/278,075.50 = 138,917.21/x
  3. Step 3: Cross multiply
    185,369.09x = 278,075.50 × 138,917.21
  4. Step 4: Simplify right side
    185,369.09x = 38,629,470,891.68
  5. Step 5: Solve for x
    x = 38,629,470,891.68/185,369.09
  6. Step 6: Final answer
    x = 208,392.20

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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.