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Finding the Fourth Proportional to 255,075.78, 382,449.63 and 121,953.09

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Solution

The fourth proportional to 255,075.78, 382,449.63 and 121,953.09 is: 182,851.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,075.78 : 382,449.63 = 121,953.09 : x
  2. Step 2: Convert to fraction form
    255,075.78/382,449.63 = 121,953.09/x
  3. Step 3: Cross multiply
    255,075.78x = 382,449.63 × 121,953.09
  4. Step 4: Simplify right side
    255,075.78x = 46,640,914,147.86
  5. Step 5: Solve for x
    x = 46,640,914,147.86/255,075.78
  6. Step 6: Final answer
    x = 182,851.21

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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.