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Finding the Fourth Proportional to 73,129.86, 109,672.44 and 31,009.14

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Solution

The fourth proportional to 73,129.86, 109,672.44 and 31,009.14 is: 46,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,129.86 : 109,672.44 = 31,009.14 : x
  2. Step 2: Convert to fraction form
    73,129.86/109,672.44 = 31,009.14/x
  3. Step 3: Cross multiply
    73,129.86x = 109,672.44 × 31,009.14
  4. Step 4: Simplify right side
    73,129.86x = 3,400,848,046.10
  5. Step 5: Solve for x
    x = 3,400,848,046.10/73,129.86
  6. Step 6: Final answer
    x = 46,504.23

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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.