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Finding the Fourth Proportional to 205,896.62, 308,395.04 and 85,588.83

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Solution

The fourth proportional to 205,896.62, 308,395.04 and 85,588.83 is: 128,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.62 : 308,395.04 = 85,588.83 : x
  2. Step 2: Convert to fraction form
    205,896.62/308,395.04 = 85,588.83/x
  3. Step 3: Cross multiply
    205,896.62x = 308,395.04 × 85,588.83
  4. Step 4: Simplify right side
    205,896.62x = 26,395,170,223.46
  5. Step 5: Solve for x
    x = 26,395,170,223.46/205,896.62
  6. Step 6: Final answer
    x = 128,196.23

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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.