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Finding the Fourth Proportional to 255,216, 382,794.82 and 68,242.08

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Solution

The fourth proportional to 255,216, 382,794.82 and 68,242.08 is: 102,355.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,216 : 382,794.82 = 68,242.08 : x
  2. Step 2: Convert to fraction form
    255,216/382,794.82 = 68,242.08/x
  3. Step 3: Cross multiply
    255,216x = 382,794.82 × 68,242.08
  4. Step 4: Simplify right side
    255,216x = 26,122,714,559.42
  5. Step 5: Solve for x
    x = 26,122,714,559.42/255,216
  6. Step 6: Final answer
    x = 102,355.32

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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.