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Finding the Fourth Proportional to 86,178.48, 129,232.34 and 32,889.86

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Solution

The fourth proportional to 86,178.48, 129,232.34 and 32,889.86 is: 49,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,178.48 : 129,232.34 = 32,889.86 : x
  2. Step 2: Convert to fraction form
    86,178.48/129,232.34 = 32,889.86/x
  3. Step 3: Cross multiply
    86,178.48x = 129,232.34 × 32,889.86
  4. Step 4: Simplify right side
    86,178.48x = 4,250,433,975.38
  5. Step 5: Solve for x
    x = 4,250,433,975.38/86,178.48
  6. Step 6: Final answer
    x = 49,321.29

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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.