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Finding the Fourth Proportional to 120,364.78, 180,571.47 and 82,942.78

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Solution

The fourth proportional to 120,364.78, 180,571.47 and 82,942.78 is: 124,430.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,364.78 : 180,571.47 = 82,942.78 : x
  2. Step 2: Convert to fraction form
    120,364.78/180,571.47 = 82,942.78/x
  3. Step 3: Cross multiply
    120,364.78x = 180,571.47 × 82,942.78
  4. Step 4: Simplify right side
    120,364.78x = 14,977,099,710.49
  5. Step 5: Solve for x
    x = 14,977,099,710.49/120,364.78
  6. Step 6: Final answer
    x = 124,430.92

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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.