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Finding the Fourth Proportional to 231,728.40, 347,592.60 and 82,137.60

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Solution

The fourth proportional to 231,728.40, 347,592.60 and 82,137.60 is: 123,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,728.40 : 347,592.60 = 82,137.60 : x
  2. Step 2: Convert to fraction form
    231,728.40/347,592.60 = 82,137.60/x
  3. Step 3: Cross multiply
    231,728.40x = 347,592.60 × 82,137.60
  4. Step 4: Simplify right side
    231,728.40x = 28,550,421,941.76
  5. Step 5: Solve for x
    x = 28,550,421,941.76/231,728.40
  6. Step 6: Final answer
    x = 123,206.40

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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.