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Finding the Fourth Proportional to 202,406.58, 303,620.81 and 52,647.20

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Solution

The fourth proportional to 202,406.58, 303,620.81 and 52,647.20 is: 78,973.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,406.58 : 303,620.81 = 52,647.20 : x
  2. Step 2: Convert to fraction form
    202,406.58/303,620.81 = 52,647.20/x
  3. Step 3: Cross multiply
    202,406.58x = 303,620.81 × 52,647.20
  4. Step 4: Simplify right side
    202,406.58x = 15,984,784,865.47
  5. Step 5: Solve for x
    x = 15,984,784,865.47/202,406.58
  6. Step 6: Final answer
    x = 78,973.64

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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.