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Finding the Fourth Proportional to 85,986.56, 128,986.80 and 32,704.04

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Solution

The fourth proportional to 85,986.56, 128,986.80 and 32,704.04 is: 49,058.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,986.56 : 128,986.80 = 32,704.04 : x
  2. Step 2: Convert to fraction form
    85,986.56/128,986.80 = 32,704.04/x
  3. Step 3: Cross multiply
    85,986.56x = 128,986.80 × 32,704.04
  4. Step 4: Simplify right side
    85,986.56x = 4,218,389,466.67
  5. Step 5: Solve for x
    x = 4,218,389,466.67/85,986.56
  6. Step 6: Final answer
    x = 49,058.71

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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.