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Finding the Fourth Proportional to 72,940, 100,657.26 and 39,406

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Solution

The fourth proportional to 72,940, 100,657.26 and 39,406 is: 54,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,940 : 100,657.26 = 39,406 : x
  2. Step 2: Convert to fraction form
    72,940/100,657.26 = 39,406/x
  3. Step 3: Cross multiply
    72,940x = 100,657.26 × 39,406
  4. Step 4: Simplify right side
    72,940x = 3,966,499,987.56
  5. Step 5: Solve for x
    x = 3,966,499,987.56/72,940
  6. Step 6: Final answer
    x = 54,380.31

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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.