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Finding the Fourth Proportional to 57,703.36, 86,327.34 and 43,703.84

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Solution

The fourth proportional to 57,703.36, 86,327.34 and 43,703.84 is: 65,383.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,703.36 : 86,327.34 = 43,703.84 : x
  2. Step 2: Convert to fraction form
    57,703.36/86,327.34 = 43,703.84/x
  3. Step 3: Cross multiply
    57,703.36x = 86,327.34 × 43,703.84
  4. Step 4: Simplify right side
    57,703.36x = 3,772,836,254.99
  5. Step 5: Solve for x
    x = 3,772,836,254.99/57,703.36
  6. Step 6: Final answer
    x = 65,383.30

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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.