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Finding the Fourth Proportional to 181,493.28, 272,092.78 and 81,580.32

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Solution

The fourth proportional to 181,493.28, 272,092.78 and 81,580.32 is: 122,304.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,493.28 : 272,092.78 = 81,580.32 : x
  2. Step 2: Convert to fraction form
    181,493.28/272,092.78 = 81,580.32/x
  3. Step 3: Cross multiply
    181,493.28x = 272,092.78 × 81,580.32
  4. Step 4: Simplify right side
    181,493.28x = 22,197,416,062.09
  5. Step 5: Solve for x
    x = 22,197,416,062.09/181,493.28
  6. Step 6: Final answer
    x = 122,304.34

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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.