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Finding the Fourth Proportional to 180,509.88, 270,939.78 and 87,081.24

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Solution

The fourth proportional to 180,509.88, 270,939.78 and 87,081.24 is: 130,706.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,509.88 : 270,939.78 = 87,081.24 : x
  2. Step 2: Convert to fraction form
    180,509.88/270,939.78 = 87,081.24/x
  3. Step 3: Cross multiply
    180,509.88x = 270,939.78 × 87,081.24
  4. Step 4: Simplify right side
    180,509.88x = 23,593,772,007.73
  5. Step 5: Solve for x
    x = 23,593,772,007.73/180,509.88
  6. Step 6: Final answer
    x = 130,706.26

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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.