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Finding the Fourth Proportional to 77,989.75, 107,625.92 and 42,179.72

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Solution

The fourth proportional to 77,989.75, 107,625.92 and 42,179.72 is: 58,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,989.75 : 107,625.92 = 42,179.72 : x
  2. Step 2: Convert to fraction form
    77,989.75/107,625.92 = 42,179.72/x
  3. Step 3: Cross multiply
    77,989.75x = 107,625.92 × 42,179.72
  4. Step 4: Simplify right side
    77,989.75x = 4,539,630,421.31
  5. Step 5: Solve for x
    x = 4,539,630,421.31/77,989.75
  6. Step 6: Final answer
    x = 58,208.04

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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.