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Finding the Fourth Proportional to 71,145.36, 106,782.84 and 37,893.24

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Solution

The fourth proportional to 71,145.36, 106,782.84 and 37,893.24 is: 56,874.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,145.36 : 106,782.84 = 37,893.24 : x
  2. Step 2: Convert to fraction form
    71,145.36/106,782.84 = 37,893.24/x
  3. Step 3: Cross multiply
    71,145.36x = 106,782.84 × 37,893.24
  4. Step 4: Simplify right side
    71,145.36x = 4,046,347,784.00
  5. Step 5: Solve for x
    x = 4,046,347,784.00/71,145.36
  6. Step 6: Final answer
    x = 56,874.37

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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.