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Finding the Fourth Proportional to 78,059.73, 117,089.90 and 18,895.31

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Solution

The fourth proportional to 78,059.73, 117,089.90 and 18,895.31 is: 28,343.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,059.73 : 117,089.90 = 18,895.31 : x
  2. Step 2: Convert to fraction form
    78,059.73/117,089.90 = 18,895.31/x
  3. Step 3: Cross multiply
    78,059.73x = 117,089.90 × 18,895.31
  4. Step 4: Simplify right side
    78,059.73x = 2,212,449,278.44
  5. Step 5: Solve for x
    x = 2,212,449,278.44/78,059.73
  6. Step 6: Final answer
    x = 28,343.03

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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.