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Finding the Fourth Proportional to 78,492.70, 117,738.51 and 25,906.42

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Solution

The fourth proportional to 78,492.70, 117,738.51 and 25,906.42 is: 38,859.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.70 : 117,738.51 = 25,906.42 : x
  2. Step 2: Convert to fraction form
    78,492.70/117,738.51 = 25,906.42/x
  3. Step 3: Cross multiply
    78,492.70x = 117,738.51 × 25,906.42
  4. Step 4: Simplify right side
    78,492.70x = 3,050,183,290.23
  5. Step 5: Solve for x
    x = 3,050,183,290.23/78,492.70
  6. Step 6: Final answer
    x = 38,859.45

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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.