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Finding the Fourth Proportional to 78,489.49, 117,738.32 and 25,903.08

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Solution

The fourth proportional to 78,489.49, 117,738.32 and 25,903.08 is: 38,855.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,489.49 : 117,738.32 = 25,903.08 : x
  2. Step 2: Convert to fraction form
    78,489.49/117,738.32 = 25,903.08/x
  3. Step 3: Cross multiply
    78,489.49x = 117,738.32 × 25,903.08
  4. Step 4: Simplify right side
    78,489.49x = 3,049,785,122.03
  5. Step 5: Solve for x
    x = 3,049,785,122.03/78,489.49
  6. Step 6: Final answer
    x = 38,855.97

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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.