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Finding the Fourth Proportional to 255,208, 382,782.84 and 68,234.08

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Solution

The fourth proportional to 255,208, 382,782.84 and 68,234.08 is: 102,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,208 : 382,782.84 = 68,234.08 : x
  2. Step 2: Convert to fraction form
    255,208/382,782.84 = 68,234.08/x
  3. Step 3: Cross multiply
    255,208x = 382,782.84 × 68,234.08
  4. Step 4: Simplify right side
    255,208x = 26,118,834,927.19
  5. Step 5: Solve for x
    x = 26,118,834,927.19/255,208
  6. Step 6: Final answer
    x = 102,343.32

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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.