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Finding the Fourth Proportional to 181,471.56, 272,029.92 and 81,656.88

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Solution

The fourth proportional to 181,471.56, 272,029.92 and 81,656.88 is: 122,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,471.56 : 272,029.92 = 81,656.88 : x
  2. Step 2: Convert to fraction form
    181,471.56/272,029.92 = 81,656.88/x
  3. Step 3: Cross multiply
    181,471.56x = 272,029.92 × 81,656.88
  4. Step 4: Simplify right side
    181,471.56x = 22,213,114,533.85
  5. Step 5: Solve for x
    x = 22,213,114,533.85/181,471.56
  6. Step 6: Final answer
    x = 122,405.49

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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.