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Finding the Fourth Proportional to 120,098.81, 180,087.01 and 40,108.01

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Solution

The fourth proportional to 120,098.81, 180,087.01 and 40,108.01 is: 60,141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,098.81 : 180,087.01 = 40,108.01 : x
  2. Step 2: Convert to fraction form
    120,098.81/180,087.01 = 40,108.01/x
  3. Step 3: Cross multiply
    120,098.81x = 180,087.01 × 40,108.01
  4. Step 4: Simplify right side
    120,098.81x = 7,222,930,597.25
  5. Step 5: Solve for x
    x = 7,222,930,597.25/120,098.81
  6. Step 6: Final answer
    x = 60,141.57

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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.