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Finding the Fourth Proportional to 123,028.70, 184,105.65 and 85,412.30

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Solution

The fourth proportional to 123,028.70, 184,105.65 and 85,412.30 is: 127,814.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,028.70 : 184,105.65 = 85,412.30 : x
  2. Step 2: Convert to fraction form
    123,028.70/184,105.65 = 85,412.30/x
  3. Step 3: Cross multiply
    123,028.70x = 184,105.65 × 85,412.30
  4. Step 4: Simplify right side
    123,028.70x = 15,724,887,009.50
  5. Step 5: Solve for x
    x = 15,724,887,009.50/123,028.70
  6. Step 6: Final answer
    x = 127,814.79

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1.5x scale

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.