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Finding the Fourth Proportional to 78,392.31, 117,739.73 and 67,173

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Solution

The fourth proportional to 78,392.31, 117,739.73 and 67,173 is: 100,889.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,392.31 : 117,739.73 = 67,173 : x
  2. Step 2: Convert to fraction form
    78,392.31/117,739.73 = 67,173/x
  3. Step 3: Cross multiply
    78,392.31x = 117,739.73 × 67,173
  4. Step 4: Simplify right side
    78,392.31x = 7,908,930,883.29
  5. Step 5: Solve for x
    x = 7,908,930,883.29/78,392.31
  6. Step 6: Final answer
    x = 100,889.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.