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Finding the Fourth Proportional to 181,736.40, 272,021.40 and 142,078.80

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Solution

The fourth proportional to 181,736.40, 272,021.40 and 142,078.80 is: 212,662.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,736.40 : 272,021.40 = 142,078.80 : x
  2. Step 2: Convert to fraction form
    181,736.40/272,021.40 = 142,078.80/x
  3. Step 3: Cross multiply
    181,736.40x = 272,021.40 × 142,078.80
  4. Step 4: Simplify right side
    181,736.40x = 38,648,474,086.32
  5. Step 5: Solve for x
    x = 38,648,474,086.32/181,736.40
  6. Step 6: Final answer
    x = 212,662.26

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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.