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Finding the Fourth Proportional to 180,285, 269,873.91 and 113,412.02

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Solution

The fourth proportional to 180,285, 269,873.91 and 113,412.02 is: 169,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,285 : 269,873.91 = 113,412.02 : x
  2. Step 2: Convert to fraction form
    180,285/269,873.91 = 113,412.02/x
  3. Step 3: Cross multiply
    180,285x = 269,873.91 × 113,412.02
  4. Step 4: Simplify right side
    180,285x = 30,606,943,929.03
  5. Step 5: Solve for x
    x = 30,606,943,929.03/180,285
  6. Step 6: Final answer
    x = 169,769.78

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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.