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Finding the Fourth Proportional to 135,911.40, 203,463.90 and 101,005.80

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Solution

The fourth proportional to 135,911.40, 203,463.90 and 101,005.80 is: 151,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,911.40 : 203,463.90 = 101,005.80 : x
  2. Step 2: Convert to fraction form
    135,911.40/203,463.90 = 101,005.80/x
  3. Step 3: Cross multiply
    135,911.40x = 203,463.90 × 101,005.80
  4. Step 4: Simplify right side
    135,911.40x = 20,551,033,990.62
  5. Step 5: Solve for x
    x = 20,551,033,990.62/135,911.40
  6. Step 6: Final answer
    x = 151,209.05

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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.