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Finding the Fourth Proportional to 181,972.40, 272,893.80 and 82,180.40

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Solution

The fourth proportional to 181,972.40, 272,893.80 and 82,180.40 is: 123,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,972.40 : 272,893.80 = 82,180.40 : x
  2. Step 2: Convert to fraction form
    181,972.40/272,893.80 = 82,180.40/x
  3. Step 3: Cross multiply
    181,972.40x = 272,893.80 × 82,180.40
  4. Step 4: Simplify right side
    181,972.40x = 22,426,521,641.52
  5. Step 5: Solve for x
    x = 22,426,521,641.52/181,972.40
  6. Step 6: Final answer
    x = 123,241.34

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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.