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Finding the Fourth Proportional to 283,715.76, 425,635.94 and 84,051.78

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Solution

The fourth proportional to 283,715.76, 425,635.94 and 84,051.78 is: 126,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,715.76 : 425,635.94 = 84,051.78 : x
  2. Step 2: Convert to fraction form
    283,715.76/425,635.94 = 84,051.78/x
  3. Step 3: Cross multiply
    283,715.76x = 425,635.94 × 84,051.78
  4. Step 4: Simplify right side
    283,715.76x = 35,775,458,388.97
  5. Step 5: Solve for x
    x = 35,775,458,388.97/283,715.76
  6. Step 6: Final answer
    x = 126,096.13

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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.