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Finding the Fourth Proportional to 254,006.71, 381,029.22 and 85,527.52

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Solution

The fourth proportional to 254,006.71, 381,029.22 and 85,527.52 is: 128,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,006.71 : 381,029.22 = 85,527.52 : x
  2. Step 2: Convert to fraction form
    254,006.71/381,029.22 = 85,527.52/x
  3. Step 3: Cross multiply
    254,006.71x = 381,029.22 × 85,527.52
  4. Step 4: Simplify right side
    254,006.71x = 32,588,484,234.13
  5. Step 5: Solve for x
    x = 32,588,484,234.13/254,006.71
  6. Step 6: Final answer
    x = 128,297.73

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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.