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Finding the Fourth Proportional to 181,563.80, 272,216.10 and 81,642.20

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Solution

The fourth proportional to 181,563.80, 272,216.10 and 81,642.20 is: 122,405.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,563.80 : 272,216.10 = 81,642.20 : x
  2. Step 2: Convert to fraction form
    181,563.80/272,216.10 = 81,642.20/x
  3. Step 3: Cross multiply
    181,563.80x = 272,216.10 × 81,642.20
  4. Step 4: Simplify right side
    181,563.80x = 22,224,321,279.42
  5. Step 5: Solve for x
    x = 22,224,321,279.42/181,563.80
  6. Step 6: Final answer
    x = 122,405.02

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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.