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Finding the Fourth Proportional to 123,905.20, 185,906.40 and 45,027.40

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Solution

The fourth proportional to 123,905.20, 185,906.40 and 45,027.40 is: 67,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,905.20 : 185,906.40 = 45,027.40 : x
  2. Step 2: Convert to fraction form
    123,905.20/185,906.40 = 45,027.40/x
  3. Step 3: Cross multiply
    123,905.20x = 185,906.40 × 45,027.40
  4. Step 4: Simplify right side
    123,905.20x = 8,370,881,835.36
  5. Step 5: Solve for x
    x = 8,370,881,835.36/123,905.20
  6. Step 6: Final answer
    x = 67,558.76

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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.