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Finding the Fourth Proportional to 181,809.64, 272,671.26 and 81,908.20

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Solution

The fourth proportional to 181,809.64, 272,671.26 and 81,908.20 is: 122,842.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,809.64 : 272,671.26 = 81,908.20 : x
  2. Step 2: Convert to fraction form
    181,809.64/272,671.26 = 81,908.20/x
  3. Step 3: Cross multiply
    181,809.64x = 272,671.26 × 81,908.20
  4. Step 4: Simplify right side
    181,809.64x = 22,334,012,098.33
  5. Step 5: Solve for x
    x = 22,334,012,098.33/181,809.64
  6. Step 6: Final answer
    x = 122,842.84

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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.