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Finding the Fourth Proportional to 146,142.56, 218,580.59 and 86,027.81

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Solution

The fourth proportional to 146,142.56, 218,580.59 and 86,027.81 is: 128,668.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142.56 : 218,580.59 = 86,027.81 : x
  2. Step 2: Convert to fraction form
    146,142.56/218,580.59 = 86,027.81/x
  3. Step 3: Cross multiply
    146,142.56x = 218,580.59 × 86,027.81
  4. Step 4: Simplify right side
    146,142.56x = 18,804,008,588.37
  5. Step 5: Solve for x
    x = 18,804,008,588.37/146,142.56
  6. Step 6: Final answer
    x = 128,668.94

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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.