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Finding the Fourth Proportional to 254,098.81, 381,086.25 and 85,575.27

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Solution

The fourth proportional to 254,098.81, 381,086.25 and 85,575.27 is: 128,342.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,098.81 : 381,086.25 = 85,575.27 : x
  2. Step 2: Convert to fraction form
    254,098.81/381,086.25 = 85,575.27/x
  3. Step 3: Cross multiply
    254,098.81x = 381,086.25 × 85,575.27
  4. Step 4: Simplify right side
    254,098.81x = 32,611,558,737.04
  5. Step 5: Solve for x
    x = 32,611,558,737.04/254,098.81
  6. Step 6: Final answer
    x = 128,342.04

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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.