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Finding the Fourth Proportional to 256,043.51, 383,942.57 and 120,995.18

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Solution

The fourth proportional to 256,043.51, 383,942.57 and 120,995.18 is: 181,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,043.51 : 383,942.57 = 120,995.18 : x
  2. Step 2: Convert to fraction form
    256,043.51/383,942.57 = 120,995.18/x
  3. Step 3: Cross multiply
    256,043.51x = 383,942.57 × 120,995.18
  4. Step 4: Simplify right side
    256,043.51x = 46,455,200,366.81
  5. Step 5: Solve for x
    x = 46,455,200,366.81/256,043.51
  6. Step 6: Final answer
    x = 181,434.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.