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Finding the Fourth Proportional to 51,958.52, 77,825 and 31,907.15

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Solution

The fourth proportional to 51,958.52, 77,825 and 31,907.15 is: 47,791.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,958.52 : 77,825 = 31,907.15 : x
  2. Step 2: Convert to fraction form
    51,958.52/77,825 = 31,907.15/x
  3. Step 3: Cross multiply
    51,958.52x = 77,825 × 31,907.15
  4. Step 4: Simplify right side
    51,958.52x = 2,483,173,948.75
  5. Step 5: Solve for x
    x = 2,483,173,948.75/51,958.52
  6. Step 6: Final answer
    x = 47,791.47

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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.