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Finding the Fourth Proportional to 181,393.72, 272,182.74 and 81,533.80

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Solution

The fourth proportional to 181,393.72, 272,182.74 and 81,533.80 is: 122,342.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,393.72 : 272,182.74 = 81,533.80 : x
  2. Step 2: Convert to fraction form
    181,393.72/272,182.74 = 81,533.80/x
  3. Step 3: Cross multiply
    181,393.72x = 272,182.74 × 81,533.80
  4. Step 4: Simplify right side
    181,393.72x = 22,192,093,086.61
  5. Step 5: Solve for x
    x = 22,192,093,086.61/181,393.72
  6. Step 6: Final answer
    x = 122,342.12

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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.