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Finding the Fourth Proportional to 225,580.98, 311,281.05 and 130,069.22

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Solution

The fourth proportional to 225,580.98, 311,281.05 and 130,069.22 is: 179,483.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,580.98 : 311,281.05 = 130,069.22 : x
  2. Step 2: Convert to fraction form
    225,580.98/311,281.05 = 130,069.22/x
  3. Step 3: Cross multiply
    225,580.98x = 311,281.05 × 130,069.22
  4. Step 4: Simplify right side
    225,580.98x = 40,488,082,723.93
  5. Step 5: Solve for x
    x = 40,488,082,723.93/225,580.98
  6. Step 6: Final answer
    x = 179,483.59

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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.