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Finding the Fourth Proportional to 78,173.82, 107,881.92 and 47,975.88

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Solution

The fourth proportional to 78,173.82, 107,881.92 and 47,975.88 is: 66,207.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,173.82 : 107,881.92 = 47,975.88 : x
  2. Step 2: Convert to fraction form
    78,173.82/107,881.92 = 47,975.88/x
  3. Step 3: Cross multiply
    78,173.82x = 107,881.92 × 47,975.88
  4. Step 4: Simplify right side
    78,173.82x = 5,175,730,048.09
  5. Step 5: Solve for x
    x = 5,175,730,048.09/78,173.82
  6. Step 6: Final answer
    x = 66,207.97

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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.