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Finding the Fourth Proportional to 181,985.76, 272,978.32 and 82,180.96

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Solution

The fourth proportional to 181,985.76, 272,978.32 and 82,180.96 is: 123,271.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,985.76 : 272,978.32 = 82,180.96 : x
  2. Step 2: Convert to fraction form
    181,985.76/272,978.32 = 82,180.96/x
  3. Step 3: Cross multiply
    181,985.76x = 272,978.32 × 82,180.96
  4. Step 4: Simplify right side
    181,985.76x = 22,433,620,396.79
  5. Step 5: Solve for x
    x = 22,433,620,396.79/181,985.76
  6. Step 6: Final answer
    x = 123,271.30

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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.