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Finding the Fourth Proportional to 255,884.62, 383,447.84 and 103,896.86

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Solution

The fourth proportional to 255,884.62, 383,447.84 and 103,896.86 is: 155,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,884.62 : 383,447.84 = 103,896.86 : x
  2. Step 2: Convert to fraction form
    255,884.62/383,447.84 = 103,896.86/x
  3. Step 3: Cross multiply
    255,884.62x = 383,447.84 × 103,896.86
  4. Step 4: Simplify right side
    255,884.62x = 39,839,026,549.78
  5. Step 5: Solve for x
    x = 39,839,026,549.78/255,884.62
  6. Step 6: Final answer
    x = 155,691.37

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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.