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Finding the Fourth Proportional to 65,179.62, 97,780.01 and 20,190.47

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Solution

The fourth proportional to 65,179.62, 97,780.01 and 20,190.47 is: 30,288.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,179.62 : 97,780.01 = 20,190.47 : x
  2. Step 2: Convert to fraction form
    65,179.62/97,780.01 = 20,190.47/x
  3. Step 3: Cross multiply
    65,179.62x = 97,780.01 × 20,190.47
  4. Step 4: Simplify right side
    65,179.62x = 1,974,223,768.65
  5. Step 5: Solve for x
    x = 1,974,223,768.65/65,179.62
  6. Step 6: Final answer
    x = 30,288.97

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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.