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Finding the Fourth Proportional to 123,143.54, 184,412.91 and 78,638.90

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Solution

The fourth proportional to 123,143.54, 184,412.91 and 78,638.90 is: 117,765.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,143.54 : 184,412.91 = 78,638.90 : x
  2. Step 2: Convert to fraction form
    123,143.54/184,412.91 = 78,638.90/x
  3. Step 3: Cross multiply
    123,143.54x = 184,412.91 × 78,638.90
  4. Step 4: Simplify right side
    123,143.54x = 14,502,028,388.20
  5. Step 5: Solve for x
    x = 14,502,028,388.20/123,143.54
  6. Step 6: Final answer
    x = 117,765.24

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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.