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Finding the Fourth Proportional to 75,992.40, 114,029.64 and 31,649.76

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Solution

The fourth proportional to 75,992.40, 114,029.64 and 31,649.76 is: 47,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.40 : 114,029.64 = 31,649.76 : x
  2. Step 2: Convert to fraction form
    75,992.40/114,029.64 = 31,649.76/x
  3. Step 3: Cross multiply
    75,992.40x = 114,029.64 × 31,649.76
  4. Step 4: Simplify right side
    75,992.40x = 3,609,010,738.89
  5. Step 5: Solve for x
    x = 3,609,010,738.89/75,992.40
  6. Step 6: Final answer
    x = 47,491.73

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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.