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Finding the Fourth Proportional to 180,828.80, 271,286.40 and 87,257.60

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Solution

The fourth proportional to 180,828.80, 271,286.40 and 87,257.60 is: 130,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,828.80 : 271,286.40 = 87,257.60 : x
  2. Step 2: Convert to fraction form
    180,828.80/271,286.40 = 87,257.60/x
  3. Step 3: Cross multiply
    180,828.80x = 271,286.40 × 87,257.60
  4. Step 4: Simplify right side
    180,828.80x = 23,671,800,176.64
  5. Step 5: Solve for x
    x = 23,671,800,176.64/180,828.80
  6. Step 6: Final answer
    x = 130,907.25

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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.