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Finding the Fourth Proportional to 225,157.38, 310,714.82 and 123,181.80

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Solution

The fourth proportional to 225,157.38, 310,714.82 and 123,181.80 is: 169,989.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,157.38 : 310,714.82 = 123,181.80 : x
  2. Step 2: Convert to fraction form
    225,157.38/310,714.82 = 123,181.80/x
  3. Step 3: Cross multiply
    225,157.38x = 310,714.82 × 123,181.80
  4. Step 4: Simplify right side
    225,157.38x = 38,274,410,814.28
  5. Step 5: Solve for x
    x = 38,274,410,814.28/225,157.38
  6. Step 6: Final answer
    x = 169,989.59

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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.