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Finding the Fourth Proportional to 78,410.24, 117,613.44 and 19,245.44

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Solution

The fourth proportional to 78,410.24, 117,613.44 and 19,245.44 is: 28,867.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,410.24 : 117,613.44 = 19,245.44 : x
  2. Step 2: Convert to fraction form
    78,410.24/117,613.44 = 19,245.44/x
  3. Step 3: Cross multiply
    78,410.24x = 117,613.44 × 19,245.44
  4. Step 4: Simplify right side
    78,410.24x = 2,263,522,402.71
  5. Step 5: Solve for x
    x = 2,263,522,402.71/78,410.24
  6. Step 6: Final answer
    x = 28,867.69

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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.