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Finding the Fourth Proportional to 85,816.91, 128,704.86 and 29,659.01

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Solution

The fourth proportional to 85,816.91, 128,704.86 and 29,659.01 is: 44,481.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,816.91 : 128,704.86 = 29,659.01 : x
  2. Step 2: Convert to fraction form
    85,816.91/128,704.86 = 29,659.01/x
  3. Step 3: Cross multiply
    85,816.91x = 128,704.86 × 29,659.01
  4. Step 4: Simplify right side
    85,816.91x = 3,817,258,086.26
  5. Step 5: Solve for x
    x = 3,817,258,086.26/85,816.91
  6. Step 6: Final answer
    x = 44,481.42

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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.