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Finding the Fourth Proportional to 73,120, 100,905.62 and 39,586

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Solution

The fourth proportional to 73,120, 100,905.62 and 39,586 is: 54,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,120 : 100,905.62 = 39,586 : x
  2. Step 2: Convert to fraction form
    73,120/100,905.62 = 39,586/x
  3. Step 3: Cross multiply
    73,120x = 100,905.62 × 39,586
  4. Step 4: Simplify right side
    73,120x = 3,994,449,873.32
  5. Step 5: Solve for x
    x = 3,994,449,873.32/73,120
  6. Step 6: Final answer
    x = 54,628.69

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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.