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Finding the Fourth Proportional to 92,311.94, 138,408.76 and 38,989.48

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Solution

The fourth proportional to 92,311.94, 138,408.76 and 38,989.48 is: 58,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,311.94 : 138,408.76 = 38,989.48 : x
  2. Step 2: Convert to fraction form
    92,311.94/138,408.76 = 38,989.48/x
  3. Step 3: Cross multiply
    92,311.94x = 138,408.76 × 38,989.48
  4. Step 4: Simplify right side
    92,311.94x = 5,396,485,579.84
  5. Step 5: Solve for x
    x = 5,396,485,579.84/92,311.94
  6. Step 6: Final answer
    x = 58,459.24

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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.