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Finding the Fourth Proportional to 188,201.80, 282,087.96 and 75,810.10

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Solution

The fourth proportional to 188,201.80, 282,087.96 and 75,810.10 is: 113,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,201.80 : 282,087.96 = 75,810.10 : x
  2. Step 2: Convert to fraction form
    188,201.80/282,087.96 = 75,810.10/x
  3. Step 3: Cross multiply
    188,201.80x = 282,087.96 × 75,810.10
  4. Step 4: Simplify right side
    188,201.80x = 21,385,116,456.40
  5. Step 5: Solve for x
    x = 21,385,116,456.40/188,201.80
  6. Step 6: Final answer
    x = 113,628.65

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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.