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Finding the Fourth Proportional to 71,457.12, 107,092.22 and 29,287.82

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Solution

The fourth proportional to 71,457.12, 107,092.22 and 29,287.82 is: 43,893.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,457.12 : 107,092.22 = 29,287.82 : x
  2. Step 2: Convert to fraction form
    71,457.12/107,092.22 = 29,287.82/x
  3. Step 3: Cross multiply
    71,457.12x = 107,092.22 × 29,287.82
  4. Step 4: Simplify right side
    71,457.12x = 3,136,497,662.76
  5. Step 5: Solve for x
    x = 3,136,497,662.76/71,457.12
  6. Step 6: Final answer
    x = 43,893.42

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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.