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Finding the Fourth Proportional to 78,682.89, 108,583.64 and 42,872.90

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Solution

The fourth proportional to 78,682.89, 108,583.64 and 42,872.90 is: 59,165.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,682.89 : 108,583.64 = 42,872.90 : x
  2. Step 2: Convert to fraction form
    78,682.89/108,583.64 = 42,872.90/x
  3. Step 3: Cross multiply
    78,682.89x = 108,583.64 × 42,872.90
  4. Step 4: Simplify right side
    78,682.89x = 4,655,294,942.85
  5. Step 5: Solve for x
    x = 4,655,294,942.85/78,682.89
  6. Step 6: Final answer
    x = 59,165.27

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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.