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Finding the Fourth Proportional to 123,223.20, 184,921.20 and 78,957.60

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Solution

The fourth proportional to 123,223.20, 184,921.20 and 78,957.60 is: 118,491.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,223.20 : 184,921.20 = 78,957.60 : x
  2. Step 2: Convert to fraction form
    123,223.20/184,921.20 = 78,957.60/x
  3. Step 3: Cross multiply
    123,223.20x = 184,921.20 × 78,957.60
  4. Step 4: Simplify right side
    123,223.20x = 14,600,934,141.12
  5. Step 5: Solve for x
    x = 14,600,934,141.12/123,223.20
  6. Step 6: Final answer
    x = 118,491.76

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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.