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Finding the Fourth Proportional to 133,287.77, 199,759.43 and 99,744.66

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Solution

The fourth proportional to 133,287.77, 199,759.43 and 99,744.66 is: 149,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,287.77 : 199,759.43 = 99,744.66 : x
  2. Step 2: Convert to fraction form
    133,287.77/199,759.43 = 99,744.66/x
  3. Step 3: Cross multiply
    133,287.77x = 199,759.43 × 99,744.66
  4. Step 4: Simplify right side
    133,287.77x = 19,924,936,676.51
  5. Step 5: Solve for x
    x = 19,924,936,676.51/133,287.77
  6. Step 6: Final answer
    x = 149,488.11

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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.