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Finding the Fourth Proportional to 283,829.54, 425,620.76 and 81,380.98

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Solution

The fourth proportional to 283,829.54, 425,620.76 and 81,380.98 is: 122,036.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,829.54 : 425,620.76 = 81,380.98 : x
  2. Step 2: Convert to fraction form
    283,829.54/425,620.76 = 81,380.98/x
  3. Step 3: Cross multiply
    283,829.54x = 425,620.76 × 81,380.98
  4. Step 4: Simplify right side
    283,829.54x = 34,637,432,022.14
  5. Step 5: Solve for x
    x = 34,637,432,022.14/283,829.54
  6. Step 6: Final answer
    x = 122,036.04

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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.