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Finding the Fourth Proportional to 188,234.78, 282,407.46 and 75,857.15

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Solution

The fourth proportional to 188,234.78, 282,407.46 and 75,857.15 is: 113,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,234.78 : 282,407.46 = 75,857.15 : x
  2. Step 2: Convert to fraction form
    188,234.78/282,407.46 = 75,857.15/x
  3. Step 3: Cross multiply
    188,234.78x = 282,407.46 × 75,857.15
  4. Step 4: Simplify right side
    188,234.78x = 21,422,624,675.05
  5. Step 5: Solve for x
    x = 21,422,624,675.05/188,234.78
  6. Step 6: Final answer
    x = 113,808.00

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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.