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Finding the Fourth Proportional to 133,670.20, 200,505.30 and 98,764.60

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Solution

The fourth proportional to 133,670.20, 200,505.30 and 98,764.60 is: 148,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,670.20 : 200,505.30 = 98,764.60 : x
  2. Step 2: Convert to fraction form
    133,670.20/200,505.30 = 98,764.60/x
  3. Step 3: Cross multiply
    133,670.20x = 200,505.30 × 98,764.60
  4. Step 4: Simplify right side
    133,670.20x = 19,802,825,752.38
  5. Step 5: Solve for x
    x = 19,802,825,752.38/133,670.20
  6. Step 6: Final answer
    x = 148,146.90

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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.