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Finding the Fourth Proportional to 123,443.40, 184,905.90 and 102,707.40

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Solution

The fourth proportional to 123,443.40, 184,905.90 and 102,707.40 is: 153,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,443.40 : 184,905.90 = 102,707.40 : x
  2. Step 2: Convert to fraction form
    123,443.40/184,905.90 = 102,707.40/x
  3. Step 3: Cross multiply
    123,443.40x = 184,905.90 × 102,707.40
  4. Step 4: Simplify right side
    123,443.40x = 18,991,204,233.66
  5. Step 5: Solve for x
    x = 18,991,204,233.66/123,443.40
  6. Step 6: Final answer
    x = 153,845.44

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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.