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Finding the Fourth Proportional to 180,784.80, 271,220.40 and 87,213.60

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Solution

The fourth proportional to 180,784.80, 271,220.40 and 87,213.60 is: 130,841.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,784.80 : 271,220.40 = 87,213.60 : x
  2. Step 2: Convert to fraction form
    180,784.80/271,220.40 = 87,213.60/x
  3. Step 3: Cross multiply
    180,784.80x = 271,220.40 × 87,213.60
  4. Step 4: Simplify right side
    180,784.80x = 23,654,107,477.44
  5. Step 5: Solve for x
    x = 23,654,107,477.44/180,784.80
  6. Step 6: Final answer
    x = 130,841.24

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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.