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Finding the Fourth Proportional to 85,991.90, 129,038.60 and 32,728.71

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Solution

The fourth proportional to 85,991.90, 129,038.60 and 32,728.71 is: 49,112.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,991.90 : 129,038.60 = 32,728.71 : x
  2. Step 2: Convert to fraction form
    85,991.90/129,038.60 = 32,728.71/x
  3. Step 3: Cross multiply
    85,991.90x = 129,038.60 × 32,728.71
  4. Step 4: Simplify right side
    85,991.90x = 4,223,266,754.56
  5. Step 5: Solve for x
    x = 4,223,266,754.56/85,991.90
  6. Step 6: Final answer
    x = 49,112.38

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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.