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Finding the Fourth Proportional to 73,211, 101,031.20 and 39,677

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Solution

The fourth proportional to 73,211, 101,031.20 and 39,677 is: 54,754.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,211 : 101,031.20 = 39,677 : x
  2. Step 2: Convert to fraction form
    73,211/101,031.20 = 39,677/x
  3. Step 3: Cross multiply
    73,211x = 101,031.20 × 39,677
  4. Step 4: Simplify right side
    73,211x = 4,008,614,922.40
  5. Step 5: Solve for x
    x = 4,008,614,922.40/73,211
  6. Step 6: Final answer
    x = 54,754.27

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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.