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Finding the Fourth Proportional to 225,988.56, 311,866.20 and 130,511.52

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Solution

The fourth proportional to 225,988.56, 311,866.20 and 130,511.52 is: 180,107.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,988.56 : 311,866.20 = 130,511.52 : x
  2. Step 2: Convert to fraction form
    225,988.56/311,866.20 = 130,511.52/x
  3. Step 3: Cross multiply
    225,988.56x = 311,866.20 × 130,511.52
  4. Step 4: Simplify right side
    225,988.56x = 40,702,131,798.62
  5. Step 5: Solve for x
    x = 40,702,131,798.62/225,988.56
  6. Step 6: Final answer
    x = 180,107.05

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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.