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Finding the Fourth Proportional to 71,491.88, 107,196.77 and 27,090.36

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Solution

The fourth proportional to 71,491.88, 107,196.77 and 27,090.36 is: 40,619.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,491.88 : 107,196.77 = 27,090.36 : x
  2. Step 2: Convert to fraction form
    71,491.88/107,196.77 = 27,090.36/x
  3. Step 3: Cross multiply
    71,491.88x = 107,196.77 × 27,090.36
  4. Step 4: Simplify right side
    71,491.88x = 2,903,999,090.14
  5. Step 5: Solve for x
    x = 2,903,999,090.14/71,491.88
  6. Step 6: Final answer
    x = 40,619.98

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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.