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Finding the Fourth Proportional to 255,227.37, 382,896.47 and 77,729.70

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Solution

The fourth proportional to 255,227.37, 382,896.47 and 77,729.70 is: 116,611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,227.37 : 382,896.47 = 77,729.70 : x
  2. Step 2: Convert to fraction form
    255,227.37/382,896.47 = 77,729.70/x
  3. Step 3: Cross multiply
    255,227.37x = 382,896.47 × 77,729.70
  4. Step 4: Simplify right side
    255,227.37x = 29,762,427,744.16
  5. Step 5: Solve for x
    x = 29,762,427,744.16/255,227.37
  6. Step 6: Final answer
    x = 116,611.43

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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.