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Finding the Fourth Proportional to 52,085, 71,887.02 and 29,729

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Solution

The fourth proportional to 52,085, 71,887.02 and 29,729 is: 41,031.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,085 : 71,887.02 = 29,729 : x
  2. Step 2: Convert to fraction form
    52,085/71,887.02 = 29,729/x
  3. Step 3: Cross multiply
    52,085x = 71,887.02 × 29,729
  4. Step 4: Simplify right side
    52,085x = 2,137,129,217.58
  5. Step 5: Solve for x
    x = 2,137,129,217.58/52,085
  6. Step 6: Final answer
    x = 41,031.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.