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Finding the Fourth Proportional to 187,289.92, 280,976.48 and 87,395.62

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Solution

The fourth proportional to 187,289.92, 280,976.48 and 87,395.62 is: 131,112.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,289.92 : 280,976.48 = 87,395.62 : x
  2. Step 2: Convert to fraction form
    187,289.92/280,976.48 = 87,395.62/x
  3. Step 3: Cross multiply
    187,289.92x = 280,976.48 × 87,395.62
  4. Step 4: Simplify right side
    187,289.92x = 24,556,114,153.99
  5. Step 5: Solve for x
    x = 24,556,114,153.99/187,289.92
  6. Step 6: Final answer
    x = 131,112.84

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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.