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Finding the Fourth Proportional to 71,416.78, 107,100.48 and 29,284.90

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Solution

The fourth proportional to 71,416.78, 107,100.48 and 29,284.90 is: 43,917.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,416.78 : 107,100.48 = 29,284.90 : x
  2. Step 2: Convert to fraction form
    71,416.78/107,100.48 = 29,284.90/x
  3. Step 3: Cross multiply
    71,416.78x = 107,100.48 × 29,284.90
  4. Step 4: Simplify right side
    71,416.78x = 3,136,426,846.75
  5. Step 5: Solve for x
    x = 3,136,426,846.75/71,416.78
  6. Step 6: Final answer
    x = 43,917.23

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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.