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Finding the Fourth Proportional to 254,611.92, 381,918.96 and 86,133.27

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Solution

The fourth proportional to 254,611.92, 381,918.96 and 86,133.27 is: 129,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,611.92 : 381,918.96 = 86,133.27 : x
  2. Step 2: Convert to fraction form
    254,611.92/381,918.96 = 86,133.27/x
  3. Step 3: Cross multiply
    254,611.92x = 381,918.96 × 86,133.27
  4. Step 4: Simplify right side
    254,611.92x = 32,895,928,899.80
  5. Step 5: Solve for x
    x = 32,895,928,899.80/254,611.92
  6. Step 6: Final answer
    x = 129,200.27

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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.