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Finding the Fourth Proportional to 78,092, 117,198.16 and 40,661.52

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Solution

The fourth proportional to 78,092, 117,198.16 and 40,661.52 is: 61,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092 : 117,198.16 = 40,661.52 : x
  2. Step 2: Convert to fraction form
    78,092/117,198.16 = 40,661.52/x
  3. Step 3: Cross multiply
    78,092x = 117,198.16 × 40,661.52
  4. Step 4: Simplify right side
    78,092x = 4,765,455,326.80
  5. Step 5: Solve for x
    x = 4,765,455,326.80/78,092
  6. Step 6: Final answer
    x = 61,023.60

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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.