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Finding the Fourth Proportional to 76,083.24, 114,125 and 20,679.24

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Solution

The fourth proportional to 76,083.24, 114,125 and 20,679.24 is: 31,018.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,083.24 : 114,125 = 20,679.24 : x
  2. Step 2: Convert to fraction form
    76,083.24/114,125 = 20,679.24/x
  3. Step 3: Cross multiply
    76,083.24x = 114,125 × 20,679.24
  4. Step 4: Simplify right side
    76,083.24x = 2,360,018,265
  5. Step 5: Solve for x
    x = 2,360,018,265/76,083.24
  6. Step 6: Final answer
    x = 31,018.90

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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.