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Finding the Fourth Proportional to 181,967.40, 272,886.30 and 82,175.40

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Solution

The fourth proportional to 181,967.40, 272,886.30 and 82,175.40 is: 123,233.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,967.40 : 272,886.30 = 82,175.40 : x
  2. Step 2: Convert to fraction form
    181,967.40/272,886.30 = 82,175.40/x
  3. Step 3: Cross multiply
    181,967.40x = 272,886.30 × 82,175.40
  4. Step 4: Simplify right side
    181,967.40x = 22,424,540,857.02
  5. Step 5: Solve for x
    x = 22,424,540,857.02/181,967.40
  6. Step 6: Final answer
    x = 123,233.84

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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.