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Finding the Fourth Proportional to 85,986.54, 128,798.10 and 54,380.34

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Solution

The fourth proportional to 85,986.54, 128,798.10 and 54,380.34 is: 81,455.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,986.54 : 128,798.10 = 54,380.34 : x
  2. Step 2: Convert to fraction form
    85,986.54/128,798.10 = 54,380.34/x
  3. Step 3: Cross multiply
    85,986.54x = 128,798.10 × 54,380.34
  4. Step 4: Simplify right side
    85,986.54x = 7,004,084,469.35
  5. Step 5: Solve for x
    x = 7,004,084,469.35/85,986.54
  6. Step 6: Final answer
    x = 81,455.59

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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.