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Finding the Fourth Proportional to 78,493.69, 117,744.60 and 25,907.27

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Solution

The fourth proportional to 78,493.69, 117,744.60 and 25,907.27 is: 38,862.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,493.69 : 117,744.60 = 25,907.27 : x
  2. Step 2: Convert to fraction form
    78,493.69/117,744.60 = 25,907.27/x
  3. Step 3: Cross multiply
    78,493.69x = 117,744.60 × 25,907.27
  4. Step 4: Simplify right side
    78,493.69x = 3,050,441,143.24
  5. Step 5: Solve for x
    x = 3,050,441,143.24/78,493.69
  6. Step 6: Final answer
    x = 38,862.25

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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.