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Finding the Fourth Proportional to 225,621.30, 311,317.92 and 128,780.94

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Solution

The fourth proportional to 225,621.30, 311,317.92 and 128,780.94 is: 177,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,621.30 : 311,317.92 = 128,780.94 : x
  2. Step 2: Convert to fraction form
    225,621.30/311,317.92 = 128,780.94/x
  3. Step 3: Cross multiply
    225,621.30x = 311,317.92 × 128,780.94
  4. Step 4: Simplify right side
    225,621.30x = 40,091,814,376.44
  5. Step 5: Solve for x
    x = 40,091,814,376.44/225,621.30
  6. Step 6: Final answer
    x = 177,695.17

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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.