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Finding the Fourth Proportional to 57,134.56, 85,669.76 and 39,143.10

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Solution

The fourth proportional to 57,134.56, 85,669.76 and 39,143.10 is: 58,692.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,134.56 : 85,669.76 = 39,143.10 : x
  2. Step 2: Convert to fraction form
    57,134.56/85,669.76 = 39,143.10/x
  3. Step 3: Cross multiply
    57,134.56x = 85,669.76 × 39,143.10
  4. Step 4: Simplify right side
    57,134.56x = 3,353,380,080.51
  5. Step 5: Solve for x
    x = 3,353,380,080.51/57,134.56
  6. Step 6: Final answer
    x = 58,692.68

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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.