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Finding the Fourth Proportional to 254,607.84, 381,912.84 and 86,129.46

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Solution

The fourth proportional to 254,607.84, 381,912.84 and 86,129.46 is: 129,194.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,607.84 : 381,912.84 = 86,129.46 : x
  2. Step 2: Convert to fraction form
    254,607.84/381,912.84 = 86,129.46/x
  3. Step 3: Cross multiply
    254,607.84x = 381,912.84 × 86,129.46
  4. Step 4: Simplify right side
    254,607.84x = 32,893,946,676.27
  5. Step 5: Solve for x
    x = 32,893,946,676.27/254,607.84
  6. Step 6: Final answer
    x = 129,194.56

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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.