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Finding the Fourth Proportional to 73,051.35, 109,568.51 and 19,740.80

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Solution

The fourth proportional to 73,051.35, 109,568.51 and 19,740.80 is: 29,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,051.35 : 109,568.51 = 19,740.80 : x
  2. Step 2: Convert to fraction form
    73,051.35/109,568.51 = 19,740.80/x
  3. Step 3: Cross multiply
    73,051.35x = 109,568.51 × 19,740.80
  4. Step 4: Simplify right side
    73,051.35x = 2,162,969,786.17
  5. Step 5: Solve for x
    x = 2,162,969,786.17/73,051.35
  6. Step 6: Final answer
    x = 29,608.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.