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Finding the Fourth Proportional to 75,340, 113,012.16 and 19,936

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Solution

The fourth proportional to 75,340, 113,012.16 and 19,936 is: 29,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,340 : 113,012.16 = 19,936 : x
  2. Step 2: Convert to fraction form
    75,340/113,012.16 = 19,936/x
  3. Step 3: Cross multiply
    75,340x = 113,012.16 × 19,936
  4. Step 4: Simplify right side
    75,340x = 2,253,010,421.76
  5. Step 5: Solve for x
    x = 2,253,010,421.76/75,340
  6. Step 6: Final answer
    x = 29,904.57

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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.