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Finding the Fourth Proportional to 65,414.40, 97,927.20 and 39,105.60

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Solution

The fourth proportional to 65,414.40, 97,927.20 and 39,105.60 is: 58,542.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.40 : 97,927.20 = 39,105.60 : x
  2. Step 2: Convert to fraction form
    65,414.40/97,927.20 = 39,105.60/x
  3. Step 3: Cross multiply
    65,414.40x = 97,927.20 × 39,105.60
  4. Step 4: Simplify right side
    65,414.40x = 3,829,501,912.32
  5. Step 5: Solve for x
    x = 3,829,501,912.32/65,414.40
  6. Step 6: Final answer
    x = 58,542.19

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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.