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Finding the Fourth Proportional to 78,992.30, 109,011.47 and 47,179.55

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Solution

The fourth proportional to 78,992.30, 109,011.47 and 47,179.55 is: 65,109.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,992.30 : 109,011.47 = 47,179.55 : x
  2. Step 2: Convert to fraction form
    78,992.30/109,011.47 = 47,179.55/x
  3. Step 3: Cross multiply
    78,992.30x = 109,011.47 × 47,179.55
  4. Step 4: Simplify right side
    78,992.30x = 5,143,112,099.44
  5. Step 5: Solve for x
    x = 5,143,112,099.44/78,992.30
  6. Step 6: Final answer
    x = 65,109.03

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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.