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Finding the Fourth Proportional to 181,412.60, 272,021.70 and 76,112.60

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Solution

The fourth proportional to 181,412.60, 272,021.70 and 76,112.60 is: 114,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,412.60 : 272,021.70 = 76,112.60 : x
  2. Step 2: Convert to fraction form
    181,412.60/272,021.70 = 76,112.60/x
  3. Step 3: Cross multiply
    181,412.60x = 272,021.70 × 76,112.60
  4. Step 4: Simplify right side
    181,412.60x = 20,704,278,843.42
  5. Step 5: Solve for x
    x = 20,704,278,843.42/181,412.60
  6. Step 6: Final answer
    x = 114,128.12

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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.