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Finding the Fourth Proportional to 254,611.84, 381,918.84 and 86,133.48

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Solution

The fourth proportional to 254,611.84, 381,918.84 and 86,133.48 is: 129,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,611.84 : 381,918.84 = 86,133.48 : x
  2. Step 2: Convert to fraction form
    254,611.84/381,918.84 = 86,133.48/x
  3. Step 3: Cross multiply
    254,611.84x = 381,918.84 × 86,133.48
  4. Step 4: Simplify right side
    254,611.84x = 32,895,998,766.76
  5. Step 5: Solve for x
    x = 32,895,998,766.76/254,611.84
  6. Step 6: Final answer
    x = 129,200.59

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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.