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Finding the Fourth Proportional to 123,420.40, 184,982.22 and 56,768.68

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Solution

The fourth proportional to 123,420.40, 184,982.22 and 56,768.68 is: 85,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,420.40 : 184,982.22 = 56,768.68 : x
  2. Step 2: Convert to fraction form
    123,420.40/184,982.22 = 56,768.68/x
  3. Step 3: Cross multiply
    123,420.40x = 184,982.22 × 56,768.68
  4. Step 4: Simplify right side
    123,420.40x = 10,501,196,452.87
  5. Step 5: Solve for x
    x = 10,501,196,452.87/123,420.40
  6. Step 6: Final answer
    x = 85,084.77

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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.