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Finding the Fourth Proportional to 135,318.50, 202,978.60 and 35,477.80

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Solution

The fourth proportional to 135,318.50, 202,978.60 and 35,477.80 is: 53,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,318.50 : 202,978.60 = 35,477.80 : x
  2. Step 2: Convert to fraction form
    135,318.50/202,978.60 = 35,477.80/x
  3. Step 3: Cross multiply
    135,318.50x = 202,978.60 × 35,477.80
  4. Step 4: Simplify right side
    135,318.50x = 7,201,234,175.08
  5. Step 5: Solve for x
    x = 7,201,234,175.08/135,318.50
  6. Step 6: Final answer
    x = 53,216.92

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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.