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Finding the Fourth Proportional to 78,695.12, 108,522.11 and 49,964.90

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Solution

The fourth proportional to 78,695.12, 108,522.11 and 49,964.90 is: 68,902.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.12 : 108,522.11 = 49,964.90 : x
  2. Step 2: Convert to fraction form
    78,695.12/108,522.11 = 49,964.90/x
  3. Step 3: Cross multiply
    78,695.12x = 108,522.11 × 49,964.90
  4. Step 4: Simplify right side
    78,695.12x = 5,422,296,373.94
  5. Step 5: Solve for x
    x = 5,422,296,373.94/78,695.12
  6. Step 6: Final answer
    x = 68,902.57

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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.