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Finding the Fourth Proportional to 77,992.60, 107,629.76 and 42,182.60

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Solution

The fourth proportional to 77,992.60, 107,629.76 and 42,182.60 is: 58,211.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,992.60 : 107,629.76 = 42,182.60 : x
  2. Step 2: Convert to fraction form
    77,992.60/107,629.76 = 42,182.60/x
  3. Step 3: Cross multiply
    77,992.60x = 107,629.76 × 42,182.60
  4. Step 4: Simplify right side
    77,992.60x = 4,540,103,438.26
  5. Step 5: Solve for x
    x = 4,540,103,438.26/77,992.60
  6. Step 6: Final answer
    x = 58,211.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.