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Finding the Fourth Proportional to 146,995.86, 220,462.47 and 86,169.72

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Solution

The fourth proportional to 146,995.86, 220,462.47 and 86,169.72 is: 129,236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,995.86 : 220,462.47 = 86,169.72 : x
  2. Step 2: Convert to fraction form
    146,995.86/220,462.47 = 86,169.72/x
  3. Step 3: Cross multiply
    146,995.86x = 220,462.47 × 86,169.72
  4. Step 4: Simplify right side
    146,995.86x = 18,997,189,310.41
  5. Step 5: Solve for x
    x = 18,997,189,310.41/146,995.86
  6. Step 6: Final answer
    x = 129,236.22

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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.