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Finding the Fourth Proportional to 283,763.31, 425,646.51 and 84,085.43

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Solution

The fourth proportional to 283,763.31, 425,646.51 and 84,085.43 is: 126,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,763.31 : 425,646.51 = 84,085.43 : x
  2. Step 2: Convert to fraction form
    283,763.31/425,646.51 = 84,085.43/x
  3. Step 3: Cross multiply
    283,763.31x = 425,646.51 × 84,085.43
  4. Step 4: Simplify right side
    283,763.31x = 35,790,669,821.35
  5. Step 5: Solve for x
    x = 35,790,669,821.35/283,763.31
  6. Step 6: Final answer
    x = 126,128.60

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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.