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Finding the Fourth Proportional to 120,605.56, 180,914.01 and 99,506.50

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Solution

The fourth proportional to 120,605.56, 180,914.01 and 99,506.50 is: 149,264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,605.56 : 180,914.01 = 99,506.50 : x
  2. Step 2: Convert to fraction form
    120,605.56/180,914.01 = 99,506.50/x
  3. Step 3: Cross multiply
    120,605.56x = 180,914.01 × 99,506.50
  4. Step 4: Simplify right side
    120,605.56x = 18,002,119,936.07
  5. Step 5: Solve for x
    x = 18,002,119,936.07/120,605.56
  6. Step 6: Final answer
    x = 149,264.43

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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.