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Finding the Fourth Proportional to 75,806.88, 113,709.86 and 19,646.84

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Solution

The fourth proportional to 75,806.88, 113,709.86 and 19,646.84 is: 29,470.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,806.88 : 113,709.86 = 19,646.84 : x
  2. Step 2: Convert to fraction form
    75,806.88/113,709.86 = 19,646.84/x
  3. Step 3: Cross multiply
    75,806.88x = 113,709.86 × 19,646.84
  4. Step 4: Simplify right side
    75,806.88x = 2,234,039,425.84
  5. Step 5: Solve for x
    x = 2,234,039,425.84/75,806.88
  6. Step 6: Final answer
    x = 29,470.14

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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.