Home / 75,789.17-113,763-31,442.26

Finding the Fourth Proportional to 75,789.17, 113,763 and 31,442.26

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Solution

The fourth proportional to 75,789.17, 113,763 and 31,442.26 is: 47,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,789.17 : 113,763 = 31,442.26 : x
  2. Step 2: Convert to fraction form
    75,789.17/113,763 = 31,442.26/x
  3. Step 3: Cross multiply
    75,789.17x = 113,763 × 31,442.26
  4. Step 4: Simplify right side
    75,789.17x = 3,576,965,824.38
  5. Step 5: Solve for x
    x = 3,576,965,824.38/75,789.17
  6. Step 6: Final answer
    x = 47,196.27

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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.