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Finding the Fourth Proportional to 283,766.56, 425,712.48 and 84,102.88

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Solution

The fourth proportional to 283,766.56, 425,712.48 and 84,102.88 is: 126,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,766.56 : 425,712.48 = 84,102.88 : x
  2. Step 2: Convert to fraction form
    283,766.56/425,712.48 = 84,102.88/x
  3. Step 3: Cross multiply
    283,766.56x = 425,712.48 × 84,102.88
  4. Step 4: Simplify right side
    283,766.56x = 35,803,645,619.94
  5. Step 5: Solve for x
    x = 35,803,645,619.94/283,766.56
  6. Step 6: Final answer
    x = 126,172.89

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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.