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Finding the Fourth Proportional to 78,093.76, 117,058.02 and 25,489.12

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Solution

The fourth proportional to 78,093.76, 117,058.02 and 25,489.12 is: 38,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,093.76 : 117,058.02 = 25,489.12 : x
  2. Step 2: Convert to fraction form
    78,093.76/117,058.02 = 25,489.12/x
  3. Step 3: Cross multiply
    78,093.76x = 117,058.02 × 25,489.12
  4. Step 4: Simplify right side
    78,093.76x = 2,983,705,918.74
  5. Step 5: Solve for x
    x = 2,983,705,918.74/78,093.76
  6. Step 6: Final answer
    x = 38,206.71

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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.