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Finding the Fourth Proportional to 133,991.20, 201,116.40 and 81,503.20

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Solution

The fourth proportional to 133,991.20, 201,116.40 and 81,503.20 is: 122,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,991.20 : 201,116.40 = 81,503.20 : x
  2. Step 2: Convert to fraction form
    133,991.20/201,116.40 = 81,503.20/x
  3. Step 3: Cross multiply
    133,991.20x = 201,116.40 × 81,503.20
  4. Step 4: Simplify right side
    133,991.20x = 16,391,630,172.48
  5. Step 5: Solve for x
    x = 16,391,630,172.48/133,991.20
  6. Step 6: Final answer
    x = 122,333.63

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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.