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Finding the Fourth Proportional to 135,714.48, 203,284.44 and 85,769.04

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Solution

The fourth proportional to 135,714.48, 203,284.44 and 85,769.04 is: 128,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,714.48 : 203,284.44 = 85,769.04 : x
  2. Step 2: Convert to fraction form
    135,714.48/203,284.44 = 85,769.04/x
  3. Step 3: Cross multiply
    135,714.48x = 203,284.44 × 85,769.04
  4. Step 4: Simplify right side
    135,714.48x = 17,435,511,265.74
  5. Step 5: Solve for x
    x = 17,435,511,265.74/135,714.48
  6. Step 6: Final answer
    x = 128,472.00

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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.