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Finding the Fourth Proportional to 188,234.28, 282,406.70 and 75,856.65

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Solution

The fourth proportional to 188,234.28, 282,406.70 and 75,856.65 is: 113,807.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,234.28 : 282,406.70 = 75,856.65 : x
  2. Step 2: Convert to fraction form
    188,234.28/282,406.70 = 75,856.65/x
  3. Step 3: Cross multiply
    188,234.28x = 282,406.70 × 75,856.65
  4. Step 4: Simplify right side
    188,234.28x = 21,422,426,918.71
  5. Step 5: Solve for x
    x = 21,422,426,918.71/188,234.28
  6. Step 6: Final answer
    x = 113,807.26

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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.