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Finding the Fourth Proportional to 57,758.60, 86,506.68 and 45,200.36

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Solution

The fourth proportional to 57,758.60, 86,506.68 and 45,200.36 is: 67,697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,758.60 : 86,506.68 = 45,200.36 : x
  2. Step 2: Convert to fraction form
    57,758.60/86,506.68 = 45,200.36/x
  3. Step 3: Cross multiply
    57,758.60x = 86,506.68 × 45,200.36
  4. Step 4: Simplify right side
    57,758.60x = 3,910,133,078.40
  5. Step 5: Solve for x
    x = 3,910,133,078.40/57,758.60
  6. Step 6: Final answer
    x = 67,697.85

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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.