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Finding the Fourth Proportional to 255,121.80, 382,689 and 122,016.12

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Solution

The fourth proportional to 255,121.80, 382,689 and 122,016.12 is: 183,027.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,121.80 : 382,689 = 122,016.12 : x
  2. Step 2: Convert to fraction form
    255,121.80/382,689 = 122,016.12/x
  3. Step 3: Cross multiply
    255,121.80x = 382,689 × 122,016.12
  4. Step 4: Simplify right side
    255,121.80x = 46,694,226,946.68
  5. Step 5: Solve for x
    x = 46,694,226,946.68/255,121.80
  6. Step 6: Final answer
    x = 183,027.19

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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.