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Finding the Fourth Proportional to 78,174.82, 107,883.30 and 47,976.88

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Solution

The fourth proportional to 78,174.82, 107,883.30 and 47,976.88 is: 66,209.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174.82 : 107,883.30 = 47,976.88 : x
  2. Step 2: Convert to fraction form
    78,174.82/107,883.30 = 47,976.88/x
  3. Step 3: Cross multiply
    78,174.82x = 107,883.30 × 47,976.88
  4. Step 4: Simplify right side
    78,174.82x = 5,175,904,138.10
  5. Step 5: Solve for x
    x = 5,175,904,138.10/78,174.82
  6. Step 6: Final answer
    x = 66,209.35

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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.