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Finding the Fourth Proportional to 75,343, 113,016.68 and 19,939

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Solution

The fourth proportional to 75,343, 113,016.68 and 19,939 is: 29,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,343 : 113,016.68 = 19,939 : x
  2. Step 2: Convert to fraction form
    75,343/113,016.68 = 19,939/x
  3. Step 3: Cross multiply
    75,343x = 113,016.68 × 19,939
  4. Step 4: Simplify right side
    75,343x = 2,253,439,582.52
  5. Step 5: Solve for x
    x = 2,253,439,582.52/75,343
  6. Step 6: Final answer
    x = 29,909.08

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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.