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Finding the Fourth Proportional to 99,535.20, 149,302.80 and 73,291.20

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Solution

The fourth proportional to 99,535.20, 149,302.80 and 73,291.20 is: 109,936.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535.20 : 149,302.80 = 73,291.20 : x
  2. Step 2: Convert to fraction form
    99,535.20/149,302.80 = 73,291.20/x
  3. Step 3: Cross multiply
    99,535.20x = 149,302.80 × 73,291.20
  4. Step 4: Simplify right side
    99,535.20x = 10,942,581,375.36
  5. Step 5: Solve for x
    x = 10,942,581,375.36/99,535.20
  6. Step 6: Final answer
    x = 109,936.80

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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.