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Finding the Fourth Proportional to 253,800.96, 380,760.96 and 135,409.92

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Solution

The fourth proportional to 253,800.96, 380,760.96 and 135,409.92 is: 203,146.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,800.96 : 380,760.96 = 135,409.92 : x
  2. Step 2: Convert to fraction form
    253,800.96/380,760.96 = 135,409.92/x
  3. Step 3: Cross multiply
    253,800.96x = 380,760.96 × 135,409.92
  4. Step 4: Simplify right side
    253,800.96x = 51,558,811,132.72
  5. Step 5: Solve for x
    x = 51,558,811,132.72/253,800.96
  6. Step 6: Final answer
    x = 203,146.64

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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.