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Finding the Fourth Proportional to 57,605.40, 86,408.10 and 47,763.90

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Solution

The fourth proportional to 57,605.40, 86,408.10 and 47,763.90 is: 71,645.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,605.40 : 86,408.10 = 47,763.90 : x
  2. Step 2: Convert to fraction form
    57,605.40/86,408.10 = 47,763.90/x
  3. Step 3: Cross multiply
    57,605.40x = 86,408.10 × 47,763.90
  4. Step 4: Simplify right side
    57,605.40x = 4,127,187,847.59
  5. Step 5: Solve for x
    x = 4,127,187,847.59/57,605.40
  6. Step 6: Final answer
    x = 71,645.85

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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.