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Finding the Fourth Proportional to 108,233.70, 149,408.50 and 65,805.78

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Solution

The fourth proportional to 108,233.70, 149,408.50 and 65,805.78 is: 90,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,233.70 : 149,408.50 = 65,805.78 : x
  2. Step 2: Convert to fraction form
    108,233.70/149,408.50 = 65,805.78/x
  3. Step 3: Cross multiply
    108,233.70x = 149,408.50 × 65,805.78
  4. Step 4: Simplify right side
    108,233.70x = 9,831,942,881.13
  5. Step 5: Solve for x
    x = 9,831,942,881.13/108,233.70
  6. Step 6: Final answer
    x = 90,839.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.