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Finding the Fourth Proportional to 149,760, 206,668.80 and 96,768

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Solution

The fourth proportional to 149,760, 206,668.80 and 96,768 is: 133,539.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,760 : 206,668.80 = 96,768 : x
  2. Step 2: Convert to fraction form
    149,760/206,668.80 = 96,768/x
  3. Step 3: Cross multiply
    149,760x = 206,668.80 × 96,768
  4. Step 4: Simplify right side
    149,760x = 19,998,926,438.40
  5. Step 5: Solve for x
    x = 19,998,926,438.40/149,760
  6. Step 6: Final answer
    x = 133,539.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.