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Finding the Fourth Proportional to 65,171.16, 97,754.67 and 20,800.62

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Solution

The fourth proportional to 65,171.16, 97,754.67 and 20,800.62 is: 31,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.16 : 97,754.67 = 20,800.62 : x
  2. Step 2: Convert to fraction form
    65,171.16/97,754.67 = 20,800.62/x
  3. Step 3: Cross multiply
    65,171.16x = 97,754.67 × 20,800.62
  4. Step 4: Simplify right side
    65,171.16x = 2,033,357,743.90
  5. Step 5: Solve for x
    x = 2,033,357,743.90/65,171.16
  6. Step 6: Final answer
    x = 31,200.27

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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.