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Finding the Fourth Proportional to 99,782.80, 149,747.10 and 66,491.80

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Solution

The fourth proportional to 99,782.80, 149,747.10 and 66,491.80 is: 99,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,782.80 : 149,747.10 = 66,491.80 : x
  2. Step 2: Convert to fraction form
    99,782.80/149,747.10 = 66,491.80/x
  3. Step 3: Cross multiply
    99,782.80x = 149,747.10 × 66,491.80
  4. Step 4: Simplify right side
    99,782.80x = 9,956,954,223.78
  5. Step 5: Solve for x
    x = 9,956,954,223.78/99,782.80
  6. Step 6: Final answer
    x = 99,786.28

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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.