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Finding the Fourth Proportional to 225,714.87, 311,490.09 and 135,074.70

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Solution

The fourth proportional to 225,714.87, 311,490.09 and 135,074.70 is: 186,405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,714.87 : 311,490.09 = 135,074.70 : x
  2. Step 2: Convert to fraction form
    225,714.87/311,490.09 = 135,074.70/x
  3. Step 3: Cross multiply
    225,714.87x = 311,490.09 × 135,074.70
  4. Step 4: Simplify right side
    225,714.87x = 42,074,430,459.72
  5. Step 5: Solve for x
    x = 42,074,430,459.72/225,714.87
  6. Step 6: Final answer
    x = 186,405.22

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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.