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Finding the Fourth Proportional to 172,431.56, 237,955.50 and 96,980

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Solution

The fourth proportional to 172,431.56, 237,955.50 and 96,980 is: 133,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,431.56 : 237,955.50 = 96,980 : x
  2. Step 2: Convert to fraction form
    172,431.56/237,955.50 = 96,980/x
  3. Step 3: Cross multiply
    172,431.56x = 237,955.50 × 96,980
  4. Step 4: Simplify right side
    172,431.56x = 23,076,924,390
  5. Step 5: Solve for x
    x = 23,076,924,390/172,431.56
  6. Step 6: Final answer
    x = 133,832.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.