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Finding the Fourth Proportional to 254,099.68, 381,204.56 and 76,591.84

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Solution

The fourth proportional to 254,099.68, 381,204.56 and 76,591.84 is: 114,904.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,099.68 : 381,204.56 = 76,591.84 : x
  2. Step 2: Convert to fraction form
    254,099.68/381,204.56 = 76,591.84/x
  3. Step 3: Cross multiply
    254,099.68x = 381,204.56 × 76,591.84
  4. Step 4: Simplify right side
    254,099.68x = 29,197,158,666.79
  5. Step 5: Solve for x
    x = 29,197,158,666.79/254,099.68
  6. Step 6: Final answer
    x = 114,904.35

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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.