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Finding the Fourth Proportional to 188,431.80, 282,647.70 and 83,196.60

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Solution

The fourth proportional to 188,431.80, 282,647.70 and 83,196.60 is: 124,794.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,431.80 : 282,647.70 = 83,196.60 : x
  2. Step 2: Convert to fraction form
    188,431.80/282,647.70 = 83,196.60/x
  3. Step 3: Cross multiply
    188,431.80x = 282,647.70 × 83,196.60
  4. Step 4: Simplify right side
    188,431.80x = 23,515,327,637.82
  5. Step 5: Solve for x
    x = 23,515,327,637.82/188,431.80
  6. Step 6: Final answer
    x = 124,794.90

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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.