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Finding the Fourth Proportional to 78,492.69, 117,743.10 and 25,906.27

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Solution

The fourth proportional to 78,492.69, 117,743.10 and 25,906.27 is: 38,860.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,492.69 : 117,743.10 = 25,906.27 : x
  2. Step 2: Convert to fraction form
    78,492.69/117,743.10 = 25,906.27/x
  3. Step 3: Cross multiply
    78,492.69x = 117,743.10 × 25,906.27
  4. Step 4: Simplify right side
    78,492.69x = 3,050,284,539.24
  5. Step 5: Solve for x
    x = 3,050,284,539.24/78,492.69
  6. Step 6: Final answer
    x = 38,860.75

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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.