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Finding the Fourth Proportional to 256,242.72, 384,204.96 and 106,587.84

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Solution

The fourth proportional to 256,242.72, 384,204.96 and 106,587.84 is: 159,815.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,242.72 : 384,204.96 = 106,587.84 : x
  2. Step 2: Convert to fraction form
    256,242.72/384,204.96 = 106,587.84/x
  3. Step 3: Cross multiply
    256,242.72x = 384,204.96 × 106,587.84
  4. Step 4: Simplify right side
    256,242.72x = 40,951,576,803.69
  5. Step 5: Solve for x
    x = 40,951,576,803.69/256,242.72
  6. Step 6: Final answer
    x = 159,815.57

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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.