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Finding the Fourth Proportional to 255,093.80, 382,647 and 121,988.12

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Solution

The fourth proportional to 255,093.80, 382,647 and 121,988.12 is: 182,985.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,093.80 : 382,647 = 121,988.12 : x
  2. Step 2: Convert to fraction form
    255,093.80/382,647 = 121,988.12/x
  3. Step 3: Cross multiply
    255,093.80x = 382,647 × 121,988.12
  4. Step 4: Simplify right side
    255,093.80x = 46,678,388,153.64
  5. Step 5: Solve for x
    x = 46,678,388,153.64/255,093.80
  6. Step 6: Final answer
    x = 182,985.19

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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.