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Finding the Fourth Proportional to 85,137.82, 127,714.02 and 35,208.34

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Solution

The fourth proportional to 85,137.82, 127,714.02 and 35,208.34 is: 52,815.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,137.82 : 127,714.02 = 35,208.34 : x
  2. Step 2: Convert to fraction form
    85,137.82/127,714.02 = 35,208.34/x
  3. Step 3: Cross multiply
    85,137.82x = 127,714.02 × 35,208.34
  4. Step 4: Simplify right side
    85,137.82x = 4,496,598,638.93
  5. Step 5: Solve for x
    x = 4,496,598,638.93/85,137.82
  6. Step 6: Final answer
    x = 52,815.52

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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.