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Finding the Fourth Proportional to 71,649.69, 107,474.66 and 19,059.15

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Solution

The fourth proportional to 71,649.69, 107,474.66 and 19,059.15 is: 28,588.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,649.69 : 107,474.66 = 19,059.15 : x
  2. Step 2: Convert to fraction form
    71,649.69/107,474.66 = 19,059.15/x
  3. Step 3: Cross multiply
    71,649.69x = 107,474.66 × 19,059.15
  4. Step 4: Simplify right side
    71,649.69x = 2,048,375,666.14
  5. Step 5: Solve for x
    x = 2,048,375,666.14/71,649.69
  6. Step 6: Final answer
    x = 28,588.76

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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.