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Finding the Fourth Proportional to 73,200, 101,016 and 39,666

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Solution

The fourth proportional to 73,200, 101,016 and 39,666 is: 54,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,200 : 101,016 = 39,666 : x
  2. Step 2: Convert to fraction form
    73,200/101,016 = 39,666/x
  3. Step 3: Cross multiply
    73,200x = 101,016 × 39,666
  4. Step 4: Simplify right side
    73,200x = 4,006,900,656
  5. Step 5: Solve for x
    x = 4,006,900,656/73,200
  6. Step 6: Final answer
    x = 54,739.08

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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.