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Finding the Fourth Proportional to 78,396, 117,613.53 and 22,992

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Solution

The fourth proportional to 78,396, 117,613.53 and 22,992 is: 34,493.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,396 : 117,613.53 = 22,992 : x
  2. Step 2: Convert to fraction form
    78,396/117,613.53 = 22,992/x
  3. Step 3: Cross multiply
    78,396x = 117,613.53 × 22,992
  4. Step 4: Simplify right side
    78,396x = 2,704,170,281.76
  5. Step 5: Solve for x
    x = 2,704,170,281.76/78,396
  6. Step 6: Final answer
    x = 34,493.73

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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.