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Finding the Fourth Proportional to 142,965.60, 214,383.60 and 54,189.60

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Solution

The fourth proportional to 142,965.60, 214,383.60 and 54,189.60 is: 81,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,965.60 : 214,383.60 = 54,189.60 : x
  2. Step 2: Convert to fraction form
    142,965.60/214,383.60 = 54,189.60/x
  3. Step 3: Cross multiply
    142,965.60x = 214,383.60 × 54,189.60
  4. Step 4: Simplify right side
    142,965.60x = 11,617,361,530.56
  5. Step 5: Solve for x
    x = 11,617,361,530.56/142,965.60
  6. Step 6: Final answer
    x = 81,259.84

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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.