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Finding the Fourth Proportional to 76,309.44, 114,486.24 and 31,913.28

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Solution

The fourth proportional to 76,309.44, 114,486.24 and 31,913.28 is: 47,879.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,309.44 : 114,486.24 = 31,913.28 : x
  2. Step 2: Convert to fraction form
    76,309.44/114,486.24 = 31,913.28/x
  3. Step 3: Cross multiply
    76,309.44x = 114,486.24 × 31,913.28
  4. Step 4: Simplify right side
    76,309.44x = 3,653,631,433.27
  5. Step 5: Solve for x
    x = 3,653,631,433.27/76,309.44
  6. Step 6: Final answer
    x = 47,879.15

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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.