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Finding the Fourth Proportional to 256,367.16, 384,551.64 and 78,872.96

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Solution

The fourth proportional to 256,367.16, 384,551.64 and 78,872.96 is: 118,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,367.16 : 384,551.64 = 78,872.96 : x
  2. Step 2: Convert to fraction form
    256,367.16/384,551.64 = 78,872.96/x
  3. Step 3: Cross multiply
    256,367.16x = 384,551.64 × 78,872.96
  4. Step 4: Simplify right side
    256,367.16x = 30,330,726,119.65
  5. Step 5: Solve for x
    x = 30,330,726,119.65/256,367.16
  6. Step 6: Final answer
    x = 118,309.72

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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.