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Finding the Fourth Proportional to 231,940.49, 347,978.16 and 97,068.20

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Solution

The fourth proportional to 231,940.49, 347,978.16 and 97,068.20 is: 145,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,940.49 : 347,978.16 = 97,068.20 : x
  2. Step 2: Convert to fraction form
    231,940.49/347,978.16 = 97,068.20/x
  3. Step 3: Cross multiply
    231,940.49x = 347,978.16 × 97,068.20
  4. Step 4: Simplify right side
    231,940.49x = 33,777,611,890.62
  5. Step 5: Solve for x
    x = 33,777,611,890.62/231,940.49
  6. Step 6: Final answer
    x = 145,630.51

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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.