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Finding the Fourth Proportional to 283,755, 425,638.98 and 84,071.64

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Solution

The fourth proportional to 283,755, 425,638.98 and 84,071.64 is: 126,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,755 : 425,638.98 = 84,071.64 : x
  2. Step 2: Convert to fraction form
    283,755/425,638.98 = 84,071.64/x
  3. Step 3: Cross multiply
    283,755x = 425,638.98 × 84,071.64
  4. Step 4: Simplify right side
    283,755x = 35,784,167,096.53
  5. Step 5: Solve for x
    x = 35,784,167,096.53/283,755
  6. Step 6: Final answer
    x = 126,109.38

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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.