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Finding the Fourth Proportional to 133,611.48, 200,109.60 and 77,311.89

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Solution

The fourth proportional to 133,611.48, 200,109.60 and 77,311.89 is: 115,789.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,611.48 : 200,109.60 = 77,311.89 : x
  2. Step 2: Convert to fraction form
    133,611.48/200,109.60 = 77,311.89/x
  3. Step 3: Cross multiply
    133,611.48x = 200,109.60 × 77,311.89
  4. Step 4: Simplify right side
    133,611.48x = 15,470,851,383.14
  5. Step 5: Solve for x
    x = 15,470,851,383.14/133,611.48
  6. Step 6: Final answer
    x = 115,789.84

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1.5x scale

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.