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Finding the Fourth Proportional to 78,613.26, 117,899.10 and 53,648.82

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Solution

The fourth proportional to 78,613.26, 117,899.10 and 53,648.82 is: 80,459.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,613.26 : 117,899.10 = 53,648.82 : x
  2. Step 2: Convert to fraction form
    78,613.26/117,899.10 = 53,648.82/x
  3. Step 3: Cross multiply
    78,613.26x = 117,899.10 × 53,648.82
  4. Step 4: Simplify right side
    78,613.26x = 6,325,147,594.06
  5. Step 5: Solve for x
    x = 6,325,147,594.06/78,613.26
  6. Step 6: Final answer
    x = 80,459.04

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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.