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Finding the Fourth Proportional to 57,709.40, 86,564.10 and 47,867.90

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Solution

The fourth proportional to 57,709.40, 86,564.10 and 47,867.90 is: 71,801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,709.40 : 86,564.10 = 47,867.90 : x
  2. Step 2: Convert to fraction form
    57,709.40/86,564.10 = 47,867.90/x
  3. Step 3: Cross multiply
    57,709.40x = 86,564.10 × 47,867.90
  4. Step 4: Simplify right side
    57,709.40x = 4,143,641,682.39
  5. Step 5: Solve for x
    x = 4,143,641,682.39/57,709.40
  6. Step 6: Final answer
    x = 71,801.85

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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.