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Finding the Fourth Proportional to 120,494.78, 180,496.74 and 57,122.81

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Solution

The fourth proportional to 120,494.78, 180,496.74 and 57,122.81 is: 85,567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,494.78 : 180,496.74 = 57,122.81 : x
  2. Step 2: Convert to fraction form
    120,494.78/180,496.74 = 57,122.81/x
  3. Step 3: Cross multiply
    120,494.78x = 180,496.74 × 57,122.81
  4. Step 4: Simplify right side
    120,494.78x = 10,310,480,984.64
  5. Step 5: Solve for x
    x = 10,310,480,984.64/120,494.78
  6. Step 6: Final answer
    x = 85,567.86

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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.