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Finding the Fourth Proportional to 186,712.74, 280,112.94 and 114,745.86

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Solution

The fourth proportional to 186,712.74, 280,112.94 and 114,745.86 is: 172,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,712.74 : 280,112.94 = 114,745.86 : x
  2. Step 2: Convert to fraction form
    186,712.74/280,112.94 = 114,745.86/x
  3. Step 3: Cross multiply
    186,712.74x = 280,112.94 × 114,745.86
  4. Step 4: Simplify right side
    186,712.74x = 32,141,800,197.43
  5. Step 5: Solve for x
    x = 32,141,800,197.43/186,712.74
  6. Step 6: Final answer
    x = 172,145.73

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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.