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Finding the Fourth Proportional to 71,029.68, 106,443 and 52,161.72

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Solution

The fourth proportional to 71,029.68, 106,443 and 52,161.72 is: 78,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,029.68 : 106,443 = 52,161.72 : x
  2. Step 2: Convert to fraction form
    71,029.68/106,443 = 52,161.72/x
  3. Step 3: Cross multiply
    71,029.68x = 106,443 × 52,161.72
  4. Step 4: Simplify right side
    71,029.68x = 5,552,249,961.96
  5. Step 5: Solve for x
    x = 5,552,249,961.96/71,029.68
  6. Step 6: Final answer
    x = 78,168.03

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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.