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Finding the Fourth Proportional to 75,814.65, 113,721.30 and 19,649.79

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Solution

The fourth proportional to 75,814.65, 113,721.30 and 19,649.79 is: 29,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814.65 : 113,721.30 = 19,649.79 : x
  2. Step 2: Convert to fraction form
    75,814.65/113,721.30 = 19,649.79/x
  3. Step 3: Cross multiply
    75,814.65x = 113,721.30 × 19,649.79
  4. Step 4: Simplify right side
    75,814.65x = 2,234,599,663.53
  5. Step 5: Solve for x
    x = 2,234,599,663.53/75,814.65
  6. Step 6: Final answer
    x = 29,474.51

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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.