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Finding the Fourth Proportional to 225,821.14, 311,610.72 and 130,358.59

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Solution

The fourth proportional to 225,821.14, 311,610.72 and 130,358.59 is: 179,881.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,821.14 : 311,610.72 = 130,358.59 : x
  2. Step 2: Convert to fraction form
    225,821.14/311,610.72 = 130,358.59/x
  3. Step 3: Cross multiply
    225,821.14x = 311,610.72 × 130,358.59
  4. Step 4: Simplify right side
    225,821.14x = 40,621,134,088.08
  5. Step 5: Solve for x
    x = 40,621,134,088.08/225,821.14
  6. Step 6: Final answer
    x = 179,881.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.