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Finding the Fourth Proportional to 70,806.45, 97,713.60 and 38,976

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Solution

The fourth proportional to 70,806.45, 97,713.60 and 38,976 is: 53,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,806.45 : 97,713.60 = 38,976 : x
  2. Step 2: Convert to fraction form
    70,806.45/97,713.60 = 38,976/x
  3. Step 3: Cross multiply
    70,806.45x = 97,713.60 × 38,976
  4. Step 4: Simplify right side
    70,806.45x = 3,808,485,273.60
  5. Step 5: Solve for x
    x = 3,808,485,273.60/70,806.45
  6. Step 6: Final answer
    x = 53,787.26

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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.