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Finding the Fourth Proportional to 55,581.91, 76,683.87 and 31,379.86

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Solution

The fourth proportional to 55,581.91, 76,683.87 and 31,379.86 is: 43,293.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,581.91 : 76,683.87 = 31,379.86 : x
  2. Step 2: Convert to fraction form
    55,581.91/76,683.87 = 31,379.86/x
  3. Step 3: Cross multiply
    55,581.91x = 76,683.87 × 31,379.86
  4. Step 4: Simplify right side
    55,581.91x = 2,406,328,857.62
  5. Step 5: Solve for x
    x = 2,406,328,857.62/55,581.91
  6. Step 6: Final answer
    x = 43,293.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.