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Finding the Fourth Proportional to 85,121.82, 127,690.02 and 35,192.34

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Solution

The fourth proportional to 85,121.82, 127,690.02 and 35,192.34 is: 52,791.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,121.82 : 127,690.02 = 35,192.34 : x
  2. Step 2: Convert to fraction form
    85,121.82/127,690.02 = 35,192.34/x
  3. Step 3: Cross multiply
    85,121.82x = 127,690.02 × 35,192.34
  4. Step 4: Simplify right side
    85,121.82x = 4,493,710,598.45
  5. Step 5: Solve for x
    x = 4,493,710,598.45/85,121.82
  6. Step 6: Final answer
    x = 52,791.52

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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.