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Finding the Fourth Proportional to 213,662.40, 320,056.20 and 108,540.60

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Solution

The fourth proportional to 213,662.40, 320,056.20 and 108,540.60 is: 162,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,662.40 : 320,056.20 = 108,540.60 : x
  2. Step 2: Convert to fraction form
    213,662.40/320,056.20 = 108,540.60/x
  3. Step 3: Cross multiply
    213,662.40x = 320,056.20 × 108,540.60
  4. Step 4: Simplify right side
    213,662.40x = 34,739,091,981.72
  5. Step 5: Solve for x
    x = 34,739,091,981.72/213,662.40
  6. Step 6: Final answer
    x = 162,588.70

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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.