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Finding the Fourth Proportional to 255,223.21, 382,890.26 and 77,725.66

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Solution

The fourth proportional to 255,223.21, 382,890.26 and 77,725.66 is: 116,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,223.21 : 382,890.26 = 77,725.66 : x
  2. Step 2: Convert to fraction form
    255,223.21/382,890.26 = 77,725.66/x
  3. Step 3: Cross multiply
    255,223.21x = 382,890.26 × 77,725.66
  4. Step 4: Simplify right side
    255,223.21x = 29,760,398,166.07
  5. Step 5: Solve for x
    x = 29,760,398,166.07/255,223.21
  6. Step 6: Final answer
    x = 116,605.38

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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.