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Finding the Fourth Proportional to 71,208.78, 106,829.37 and 37,911.30

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Solution

The fourth proportional to 71,208.78, 106,829.37 and 37,911.30 is: 56,875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,208.78 : 106,829.37 = 37,911.30 : x
  2. Step 2: Convert to fraction form
    71,208.78/106,829.37 = 37,911.30/x
  3. Step 3: Cross multiply
    71,208.78x = 106,829.37 × 37,911.30
  4. Step 4: Simplify right side
    71,208.78x = 4,050,040,294.88
  5. Step 5: Solve for x
    x = 4,050,040,294.88/71,208.78
  6. Step 6: Final answer
    x = 56,875.57

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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.