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Finding the Fourth Proportional to 225,620.20, 311,355.78 and 134,980

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Solution

The fourth proportional to 225,620.20, 311,355.78 and 134,980 is: 186,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,620.20 : 311,355.78 = 134,980 : x
  2. Step 2: Convert to fraction form
    225,620.20/311,355.78 = 134,980/x
  3. Step 3: Cross multiply
    225,620.20x = 311,355.78 × 134,980
  4. Step 4: Simplify right side
    225,620.20x = 42,026,803,184.40
  5. Step 5: Solve for x
    x = 42,026,803,184.40/225,620.20
  6. Step 6: Final answer
    x = 186,272.34

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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.